%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP387-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n032.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 16:54:36 EDT 2024

% Result   : Unsatisfiable 10.63s 10.91s
% Output   : Proof 10.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP387-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 26 20:14:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.54/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.63/10.91  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.HGo3zicomQ/cvc5---1.0.5_18849.smt2
% 10.63/10.91  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.HGo3zicomQ/cvc5---1.0.5_18849.smt2
% 10.63/11.11  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 10.63/11.11  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 10.63/11.11  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.11  (assume a3 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)))
% 10.63/11.11  (assume a4 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)))
% 10.63/11.11  (assume a5 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)))
% 10.63/11.11  (assume a6 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 10.63/11.11  (assume a7 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)))
% 10.63/11.11  (assume a8 (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)))
% 10.63/11.11  (assume a9 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)))
% 10.63/11.11  (assume a10 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)))
% 10.63/11.11  (assume a11 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)))
% 10.63/11.11  (assume a12 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 10.63/11.11  (assume a13 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)))
% 10.63/11.11  (assume a14 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)))
% 10.63/11.11  (assume a15 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)))
% 10.63/11.11  (assume a16 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)))
% 10.63/11.11  (assume a17 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)))
% 10.63/11.11  (assume a18 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 10.63/11.11  (assume a19 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)))
% 10.63/11.11  (assume a20 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)))
% 10.63/11.11  (assume a21 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)))
% 10.63/11.11  (assume a22 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)))
% 10.63/11.11  (assume a23 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)))
% 10.63/11.11  (assume a24 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 10.63/11.11  (assume a25 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)))
% 10.63/11.11  (assume a26 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)))
% 10.63/11.11  (assume a27 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)))
% 10.63/11.11  (assume a28 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)))
% 10.63/11.11  (assume a29 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)))
% 10.63/11.11  (assume a30 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 10.63/11.11  (assume a31 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)))
% 10.63/11.11  (assume a32 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)))
% 10.63/11.11  (assume a33 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5)))))
% 10.63/11.11  (step t1 (cl (not (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule equiv_pos2)
% 10.63/11.11  (step t2 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule refl)
% 10.63/11.11  (step t3 (cl (= (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule refl)
% 10.63/11.11  (step t4 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule refl)
% 10.63/11.11  (step t5 (cl (= (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 10.63/11.11  (step t6 (cl (= (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule refl)
% 10.63/11.11  (step t7 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule refl)
% 10.63/11.11  (step t8 (cl (= (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) true) (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule equiv_simplify)
% 10.63/11.11  (step t9 (cl (not (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) true)) (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule equiv1 :premises (t8))
% 10.63/11.11  (step t10 (cl (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))))) :rule all_simplify)
% 10.63/11.11  (step t11 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 10.63/11.11  (step t12 (cl (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.11  (step t13 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t11 t12))
% 10.63/11.11  (step t14 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) true)) :rule all_simplify)
% 10.63/11.11  (step t15 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) true)) :rule trans :premises (t13 t14))
% 10.63/11.11  (step t16 (cl (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) true)) :rule trans :premises (t10 t15))
% 10.63/11.11  (step t17 (cl (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t9 t16))
% 10.63/11.11  (step t18 (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)
% 10.63/11.11  (step t19 (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)
% 10.63/11.11  (step t20 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule refl)
% 10.63/11.11  (step t21 (cl (= (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule refl)
% 10.63/11.11  (step t22 (cl (= (not (= 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 refl)
% 10.63/11.11  (step t23 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule refl)
% 10.63/11.11  (step t24 (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)
% 10.63/11.11  (step t25 (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)
% 10.63/11.11  (step t26 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule refl)
% 10.63/11.11  (step t27 (cl (= (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.inverse 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 refl)
% 10.63/11.11  (step t28 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule refl)
% 10.63/11.11  (step t29 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule refl)
% 10.63/11.11  (step t30 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) :rule cong :premises (t2 t3 t4 t5 t6 t7 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29))
% 10.63/11.11  (step t31 (cl (not (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) (not (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule equiv_pos2)
% 10.63/11.11  (step t32 (cl (= (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule refl)
% 10.63/11.11  (step t33 (cl (= (= (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))))) :rule equiv_simplify)
% 10.63/11.11  (step t34 (cl (= (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (not (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))))) :rule equiv2 :premises (t33))
% 10.63/11.11  (step t35 (cl (not (not (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule not_not)
% 10.63/11.11  (step t36 (cl (= (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t34 t35))
% 10.63/11.11  (step t37 (cl (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule implies_neg1)
% 10.63/11.11  (anchor :step t38)
% 10.63/11.11  (assume t38.a0 (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))
% 10.63/11.11  (assume t38.a1 (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))
% 10.63/11.11  (step t38.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 10.63/11.11  (step t38.t2 (cl (= (= false true) false)) :rule all_simplify)
% 10.63/11.11  (step t38.t3 (cl (= (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule equiv_simplify)
% 10.63/11.11  (step t38.t4 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false) (not (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule equiv2 :premises (t38.t3))
% 10.63/11.11  (step t38.t5 (cl (not (not (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule not_not)
% 10.63/11.11  (step t38.t6 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t38.t4 t38.t5))
% 10.63/11.11  (step t38.t7 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false)) :rule resolution :premises (t38.t6 t38.a0))
% 10.63/11.11  (step t38.t8 (cl (= false (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule symm :premises (t38.t7))
% 10.63/11.11  (step t38.t9 (cl (= (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) true) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule equiv_simplify)
% 10.63/11.11  (step t38.t10 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) true) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule equiv2 :premises (t38.t9))
% 10.63/11.11  (step t38.t11 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) true)) :rule resolution :premises (t38.t10 t38.a1))
% 10.63/11.11  (step t38.t12 (cl (= false true)) :rule trans :premises (t38.t8 t38.t11))
% 10.63/11.11  (step t38.t13 (cl false) :rule resolution :premises (t38.t1 t38.t2 t38.t12))
% 10.63/11.11  (step t38 (cl (not (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) :rule subproof :discharge (t38.a0 t38.a1))
% 10.63/11.11  (step t39 (cl (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule and_pos)
% 10.63/11.11  (step t40 (cl (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule and_pos)
% 10.63/11.11  (step t41 (cl false (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t38 t39 t40))
% 10.63/11.11  (step t42 (cl (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) false) :rule reordering :premises (t41))
% 10.63/11.11  (step t43 (cl (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) false) :rule contraction :premises (t42))
% 10.63/11.11  (step t44 (cl (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) false) :rule resolution :premises (t37 t43))
% 10.63/11.11  (step t45 (cl (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (not false)) :rule implies_neg2)
% 10.63/11.11  (step t46 (cl (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false)) :rule resolution :premises (t44 t45))
% 10.63/11.11  (step t47 (cl (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false)) :rule contraction :premises (t46))
% 10.63/11.11  (step t48 (cl (= (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))))) :rule implies_simplify)
% 10.63/11.11  (step t49 (cl (not (=> (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false)) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule equiv1 :premises (t48))
% 10.63/11.11  (step t50 (cl (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t47 t49))
% 10.63/11.11  (step t51 (cl (= (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) false)) :rule resolution :premises (t36 t50))
% 10.63/11.11  (step t52 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) false))) :rule cong :premises (t32 t51))
% 10.63/11.11  (step t53 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) false) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) :rule all_simplify)
% 10.63/11.11  (step t54 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) :rule trans :premises (t52 t53))
% 10.63/11.11  (step t55 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.63/11.11  (anchor :step t56)
% 10.63/11.11  (assume t56.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.11  (assume t56.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.11  (assume t56.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.11  (assume t56.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 10.63/11.11  (assume t56.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))
% 10.63/11.11  (assume t56.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.63/11.11  (assume t56.a6 (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))
% 10.63/11.11  (assume t56.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.11  (assume t56.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.11  (assume t56.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.11  (assume t56.a10 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 10.63/11.11  (assume t56.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.11  (assume t56.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.11  (assume t56.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.63/11.11  (assume t56.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.63/11.11  (assume t56.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.63/11.11  (assume t56.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 10.63/11.11  (assume t56.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.63/11.11  (assume t56.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.63/11.11  (step t56.t1 (cl (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (not (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule and_neg)
% 10.63/11.11  (step t56.t2 (cl (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 10.63/11.11  (anchor :step t56.t3)
% 10.63/11.11  (assume t56.t3.a0 (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))
% 10.63/11.11  (assume t56.t3.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.11  (assume t56.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.63/11.11  (assume t56.t3.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.63/11.11  (assume t56.t3.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 10.63/11.11  (assume t56.t3.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.11  (assume t56.t3.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.63/11.11  (assume t56.t3.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.11  (assume t56.t3.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.11  (assume t56.t3.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))))
% 10.63/11.11  (assume t56.t3.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.11  (assume t56.t3.a11 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.11  (assume t56.t3.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.11  (assume t56.t3.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.11  (assume t56.t3.a14 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.63/11.11  (assume t56.t3.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.63/11.11  (assume t56.t3.a16 (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))
% 10.63/11.11  (assume t56.t3.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.63/11.11  (step t56.t3.t1 (cl (= (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule equiv_simplify)
% 10.63/11.11  (step t56.t3.t2 (cl (not (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false)) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule equiv1 :premises (t56.t3.t1))
% 10.63/11.11  (step t56.t3.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t56.t3.a11))
% 10.63/11.11  (step t56.t3.t4 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t56.t3.t3))
% 10.63/11.11  (step t56.t3.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t56.t3.a17))
% 10.63/11.11  (step t56.t3.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t56.t3.t5))
% 10.63/11.11  (step t56.t3.t7 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)) :rule symm :premises (t56.t3.a16))
% 10.63/11.11  (step t56.t3.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t56.t3.a13))
% 10.63/11.11  (step t56.t3.t9 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t56.t3.t8))
% 10.63/11.11  (step t56.t3.t10 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.63/11.11  (step t56.t3.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t56.t3.a10))
% 10.63/11.11  (step t56.t3.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t56.t3.t11))
% 10.63/11.11  (step t56.t3.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.11  (step t56.t3.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule cong :premises (t56.t3.t12 t56.t3.t13))
% 10.63/11.11  (step t56.t3.t15 (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 (t56.t3.a9))
% 10.63/11.11  (step t56.t3.t16 (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 symm :premises (t56.t3.t15))
% 10.63/11.11  (step t56.t3.t17 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t56.t3.a7))
% 10.63/11.11  (step t56.t3.t18 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t56.t3.a8))
% 10.63/11.11  (step t56.t3.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t56.t3.t17 t56.t3.t18))
% 10.63/11.11  (step t56.t3.t20 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t56.t3.t4 t56.t3.t14 t56.t3.t16 t56.t3.t19))
% 10.63/11.11  (step t56.t3.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t56.t3.t10 t56.t3.t20))
% 10.63/11.11  (step t56.t3.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t56.t3.a6))
% 10.63/11.11  (step t56.t3.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t56.t3.a5))
% 10.63/11.11  (step t56.t3.t24 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.11  (step t56.t3.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t56.t3.t23 t56.t3.t24))
% 10.63/11.11  (step t56.t3.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t56.t3.a1))
% 10.63/11.11  (step t56.t3.t27 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t56.t3.a5 t56.t3.t21 t56.t3.t22 t56.t3.t25 t56.t3.t26))
% 10.63/11.11  (step t56.t3.t28 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t56.t3.a4))
% 10.63/11.11  (step t56.t3.t29 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t56.t3.t28))
% 10.63/11.11  (step t56.t3.t30 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t56.t3.t27 t56.t3.t29))
% 10.63/11.11  (step t56.t3.t31 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t56.t3.a12))
% 10.63/11.11  (step t56.t3.t32 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t56.t3.t31))
% 10.63/11.11  (step t56.t3.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t56.t3.t30 t56.t3.t32))
% 10.63/11.11  (step t56.t3.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t56.t3.a3))
% 10.63/11.11  (step t56.t3.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t56.t3.a2))
% 10.63/11.11  (step t56.t3.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t56.t3.t35 t56.t3.t24))
% 10.63/11.11  (step t56.t3.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t56.t3.t25))
% 10.63/11.11  (step t56.t3.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t56.t3.t21))
% 10.63/11.11  (step t56.t3.t39 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t56.t3.t9 t56.t3.t33 t56.t3.t34 t56.t3.t36 t56.t3.t37 t56.t3.a6 t56.t3.t38 t56.t3.t23))
% 10.63/11.11  (step t56.t3.t40 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t56.t3.t7 t56.t3.t39))
% 10.63/11.11  (step t56.t3.t41 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.63/11.11  (step t56.t3.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t56.t3.t40 t56.t3.t41))
% 10.63/11.11  (step t56.t3.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t56.t3.a15))
% 10.63/11.11  (step t56.t3.t44 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t56.t3.t6 t56.t3.t42 t56.t3.t43))
% 10.63/11.11  (step t56.t3.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule cong :premises (t56.t3.t44 t56.t3.t13))
% 10.63/11.11  (step t56.t3.t46 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t56.t3.a14))
% 10.63/11.11  (step t56.t3.t47 (cl (= tptp.sk_c7 tptp.sk_c6)) :rule trans :premises (t56.t3.t4 t56.t3.t45 t56.t3.t46 t56.t3.t9 t56.t3.t33 t56.t3.t34 t56.t3.t36 t56.t3.t26))
% 10.63/11.11  (step t56.t3.t48 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c2)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t56.t3.t17))
% 10.63/11.11  (step t56.t3.t49 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t56.t3.t47 t56.t3.t48))
% 10.63/11.11  (step t56.t3.t50 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) false) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule equiv_simplify)
% 10.63/11.11  (step t56.t3.t51 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) false) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule equiv2 :premises (t56.t3.t50))
% 10.63/11.11  (step t56.t3.t52 (cl (not (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule not_not)
% 10.63/11.11  (step t56.t3.t53 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) false) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t56.t3.t51 t56.t3.t52))
% 10.63/11.11  (step t56.t3.t54 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) false)) :rule resolution :premises (t56.t3.t53 t56.t3.a0))
% 10.63/11.11  (step t56.t3.t55 (cl (= (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) false)) :rule trans :premises (t56.t3.t49 t56.t3.t54))
% 10.63/11.11  (step t56.t3.t56 (cl (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t56.t3.t2 t56.t3.t55))
% 10.63/11.11  (step t56.t3 (cl (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t56.t3.a0 t56.t3.a1 t56.t3.a2 t56.t3.a3 t56.t3.a4 t56.t3.a5 t56.t3.a6 t56.t3.a7 t56.t3.a8 t56.t3.a9 t56.t3.a10 t56.t3.a11 t56.t3.a12 t56.t3.a13 t56.t3.a14 t56.t3.a15 t56.t3.a16 t56.t3.a17))
% 10.63/11.11  (step t56.t4 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule and_pos)
% 10.63/11.11  (step t56.t5 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.11  (step t56.t6 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.63/11.11  (step t56.t7 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.11  (step t56.t8 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.63/11.11  (step t56.t9 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.11  (step t56.t10 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.11  (step t56.t11 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.11  (step t56.t12 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.11  (step t56.t13 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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)
% 10.63/11.11  (step t56.t14 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.11  (step t56.t15 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.11  (step t56.t16 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.11  (step t56.t17 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.11  (step t56.t18 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.63/11.11  (step t56.t19 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.63/11.11  (step t56.t20 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.63/11.11  (step t56.t21 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.63/11.11  (step t56.t22 (cl (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t56.t3 t56.t4 t56.t5 t56.t6 t56.t7 t56.t8 t56.t9 t56.t10 t56.t11 t56.t12 t56.t13 t56.t14 t56.t15 t56.t16 t56.t17 t56.t18 t56.t19 t56.t20 t56.t21))
% 10.63/11.12  (step t56.t23 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule reordering :premises (t56.t22))
% 10.63/11.12  (step t56.t24 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t56.t23))
% 10.63/11.12  (step t56.t25 (cl (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t56.t2 t56.t24))
% 10.63/11.12  (step t56.t26 (cl (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 10.63/11.12  (step t56.t27 (cl (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t56.t25 t56.t26))
% 10.63/11.12  (step t56.t28 (cl (=> (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t56.t27))
% 10.63/11.12  (step t56.t29 (cl (not (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t56.t28))
% 10.63/11.12  (step t56.t30 (cl (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 10.63/11.12  (step t56.t31 (cl (and (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t56.t30 t56.a6 t56.a8 t56.a13 t56.a17 t56.a3 t56.a9 t56.a18 t56.a1 t56.a0 t56.a16 t56.a11 t56.a7 t56.a2 t56.a12 t56.a5 t56.a14 t56.a4 t56.a15))
% 10.63/11.12  (step t56.t32 (cl (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t56.t29 t56.t31))
% 10.63/11.12  (step t56.t33 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t56.t34)
% 10.63/11.12  (assume t56.t34.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t56.t34.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t56.t34.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.63/11.12  (assume t56.t34.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))
% 10.63/11.12  (assume t56.t34.a4 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t56.t34.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t56.t34.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t56.t34.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 10.63/11.12  (assume t56.t34.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t56.t34.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.63/11.12  (assume t56.t34.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.12  (assume t56.t34.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 10.63/11.12  (assume t56.t34.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.12  (assume t56.t34.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.63/11.12  (assume t56.t34.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.63/11.12  (assume t56.t34.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.63/11.12  (assume t56.t34.a16 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))
% 10.63/11.12  (assume t56.t34.a17 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 10.63/11.12  (step t56.t34.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t56.t34.a1))
% 10.63/11.12  (step t56.t34.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t56.t34.t1))
% 10.63/11.12  (step t56.t34.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t56.t34.a15))
% 10.63/11.12  (step t56.t34.t4 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t56.t34.t3))
% 10.63/11.12  (step t56.t34.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.63/11.12  (step t56.t34.t6 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t56.t34.a0))
% 10.63/11.12  (step t56.t34.t7 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t56.t34.t6))
% 10.63/11.12  (step t56.t34.t8 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t56.t34.a8))
% 10.63/11.12  (step t56.t34.t9 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t56.t34.t8))
% 10.63/11.12  (step t56.t34.t10 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t56.t34.t7 t56.t34.t9))
% 10.63/11.12  (step t56.t34.t11 (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 (t56.t34.a7))
% 10.63/11.12  (step t56.t34.t12 (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 symm :premises (t56.t34.t11))
% 10.63/11.12  (step t56.t34.t13 (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 (t56.t34.t12))
% 10.63/11.12  (step t56.t34.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t56.t34.a6))
% 10.63/11.12  (step t56.t34.t15 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t56.t34.t14))
% 10.63/11.12  (step t56.t34.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t56.t34.t15))
% 10.63/11.12  (step t56.t34.t17 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t56.t34.t18 (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 (t56.t34.t16 t56.t34.t17))
% 10.63/11.12  (step t56.t34.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t56.t34.t2))
% 10.63/11.12  (step t56.t34.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t56.t34.t10 t56.t34.t13 t56.t34.t18 t56.t34.t19))
% 10.63/11.12  (step t56.t34.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t56.t34.t5 t56.t34.t20))
% 10.63/11.12  (step t56.t34.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t56.t34.t21))
% 10.63/11.12  (step t56.t34.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t56.t34.a9))
% 10.63/11.12  (step t56.t34.t24 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t56.t34.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t56.t34.a5 t56.t34.t24))
% 10.63/11.12  (step t56.t34.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t56.t34.t25))
% 10.63/11.12  (step t56.t34.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t56.t34.a14))
% 10.63/11.12  (step t56.t34.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t56.t34.t27))
% 10.63/11.12  (step t56.t34.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t56.t34.t28 t56.t34.t24))
% 10.63/11.12  (step t56.t34.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t56.t34.a13))
% 10.63/11.12  (step t56.t34.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t56.t34.t30))
% 10.63/11.12  (step t56.t34.t32 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t56.t34.a11))
% 10.63/11.12  (step t56.t34.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t56.t34.t32))
% 10.63/11.12  (step t56.t34.t34 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t56.t34.t33))
% 10.63/11.12  (step t56.t34.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t56.t34.a10))
% 10.63/11.12  (step t56.t34.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t56.t34.t35))
% 10.63/11.12  (step t56.t34.t37 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t56.t34.t23))
% 10.63/11.12  (step t56.t34.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t56.t34.a5))
% 10.63/11.12  (step t56.t34.t39 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t56.t34.t36 t56.t34.t25 t56.t34.t37 t56.t34.t21 t56.t34.t38))
% 10.63/11.12  (step t56.t34.t40 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t56.t34.t34 t56.t34.t39))
% 10.63/11.12  (step t56.t34.t41 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t56.t34.a12))
% 10.63/11.12  (step t56.t34.t42 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t56.t34.t41))
% 10.63/11.12  (step t56.t34.t43 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t56.t34.t42))
% 10.63/11.12  (step t56.t34.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t56.t34.t40 t56.t34.t43))
% 10.63/11.12  (step t56.t34.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t56.t34.a4))
% 10.63/11.12  (step t56.t34.t46 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t56.t34.t45))
% 10.63/11.12  (step t56.t34.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t56.t34.t46))
% 10.63/11.12  (step t56.t34.t48 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t56.t34.a5 t56.t34.t22 t56.t34.t23 t56.t34.t26 t56.t34.t29 t56.t34.t31 t56.t34.t44 t56.t34.t47))
% 10.63/11.12  (step t56.t34.t49 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)) :rule symm :premises (t56.t34.a3))
% 10.63/11.12  (step t56.t34.t50 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t56.t34.t49))
% 10.63/11.12  (step t56.t34.t51 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t56.t34.t48 t56.t34.t50))
% 10.63/11.12  (step t56.t34.t52 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.63/11.12  (step t56.t34.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t56.t34.t51 t56.t34.t52))
% 10.63/11.12  (step t56.t34.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t56.t34.a2))
% 10.63/11.12  (step t56.t34.t55 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t56.t34.t54))
% 10.63/11.12  (step t56.t34.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t56.t34.t55))
% 10.63/11.12  (step t56.t34.t57 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t56.t34.t4 t56.t34.t53 t56.t34.t56))
% 10.63/11.12  (step t56.t34.t58 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t56.t34.t57 t56.t34.t17))
% 10.63/11.12  (step t56.t34.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule symm :premises (t56.t34.t58))
% 10.63/11.12  (step t56.t34.t60 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t56.t34.a16))
% 10.63/11.12  (step t56.t34.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t56.t34.t44))
% 10.63/11.12  (step t56.t34.t62 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t56.t34.t29))
% 10.63/11.12  (step t56.t34.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t56.t34.a17))
% 10.63/11.12  (step t56.t34.t64 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule symm :premises (t56.t34.t63))
% 10.63/11.12  (step t56.t34.t65 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule symm :premises (t56.t34.t40))
% 10.63/11.12  (step t56.t34.t66 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.63/11.12  (step t56.t34.t67 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule cong :premises (t56.t34.t65 t56.t34.t66))
% 10.63/11.12  (step t56.t34.t68 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t56.t34.t64 t56.t34.t67 t56.t34.t27))
% 10.63/11.12  (step t56.t34.t69 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.identity))) :rule cong :premises (t56.t34.t68))
% 10.63/11.12  (step t56.t34.t70 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule symm :premises (t56.t34.t60))
% 10.63/11.12  (step t56.t34.t71 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t56.t34.a5 t56.t34.t22 t56.t34.t23 t56.t34.t26 t56.t34.t29 t56.t34.t31 t56.t34.t44 t56.t34.t47 t56.t34.t70 t56.t34.t58 t56.t34.t19))
% 10.63/11.12  (step t56.t34.t72 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t56.t34.t71))
% 10.63/11.12  (step t56.t34.t73 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t56.t34.t7))
% 10.63/11.12  (step t56.t34.t74 (cl (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t56.t34.t2 t56.t34.t59 t56.t34.t60 t56.t34.t46 t56.t34.t61 t56.t34.t30 t56.t34.t62 t56.t34.t35 t56.t34.t33 t56.t34.t69 t56.t34.t72 t56.t34.t73))
% 10.63/11.12  (step t56.t34 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t56.t34.a0 t56.t34.a1 t56.t34.a2 t56.t34.a3 t56.t34.a4 t56.t34.a5 t56.t34.a6 t56.t34.a7 t56.t34.a8 t56.t34.a9 t56.t34.a10 t56.t34.a11 t56.t34.a12 t56.t34.a13 t56.t34.a14 t56.t34.a15 t56.t34.a16 t56.t34.a17))
% 10.63/11.12  (step t56.t35 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t56.t36 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t56.t37 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t56.t38 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t56.t39 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t56.t40 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t56.t41 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t56.t42 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.12  (step t56.t43 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t56.t44 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t56.t45 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t56.t46 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t56.t47 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t56.t48 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t56.t49 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t56.t50 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t56.t51 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t56.t52 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t56.t53 (cl (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule resolution :premises (t56.t34 t56.t35 t56.t36 t56.t37 t56.t38 t56.t39 t56.t40 t56.t41 t56.t42 t56.t43 t56.t44 t56.t45 t56.t46 t56.t47 t56.t48 t56.t49 t56.t50 t56.t51 t56.t52))
% 10.63/11.12  (step t56.t54 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t56.t53))
% 10.63/11.12  (step t56.t55 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t56.t54))
% 10.63/11.12  (step t56.t56 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t56.t33 t56.t55))
% 10.63/11.12  (step t56.t57 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 10.63/11.12  (step t56.t58 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t56.t56 t56.t57))
% 10.63/11.12  (step t56.t59 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t56.t58))
% 10.63/11.12  (step t56.t60 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t56.t59))
% 10.63/11.12  (step t56.t61 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_neg)
% 10.63/11.12  (step t56.t62 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 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.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t56.t61 t56.a1 t56.a7 t56.a15 t56.a4 t56.a12 t56.a9 t56.a11 t56.a16 t56.a0 t56.a18 t56.a8 t56.a3 t56.a2 t56.a17 t56.a13 t56.a14 t56.a5 t56.a10))
% 10.63/11.12  (step t56.t63 (cl (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t56.t60 t56.t62))
% 10.63/11.12  (step t56.t64 (cl (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t56.t1 t56.t32 t56.t63))
% 10.63/11.12  (step t56 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t56.a0 t56.a1 t56.a2 t56.a3 t56.a4 t56.a5 t56.a6 t56.a7 t56.a8 t56.a9 t56.a10 t56.a11 t56.a12 t56.a13 t56.a14 t56.a15 t56.a16 t56.a17 t56.a18))
% 10.63/11.12  (step t57 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t58 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t59 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t60 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t61 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t62 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t63 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t64 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t65 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t66 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t67 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t68 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t69 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t70 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t71 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t72 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.63/11.12  (step t73 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.12  (step t74 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t75 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t76 (cl (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t56 t57 t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75))
% 10.63/11.12  (step t77 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule reordering :premises (t76))
% 10.63/11.12  (step t78 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t77))
% 10.63/11.12  (step t79 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t55 t78))
% 10.63/11.12  (step t80 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (not (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 10.63/11.12  (step t81 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2))))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t79 t80))
% 10.63/11.12  (step t82 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (and (not (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t81))
% 10.63/11.12  (step t83 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t31 t54 t82))
% 10.63/11.12  (step t84 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule not_and :premises (t83))
% 10.63/11.12  (step t85 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t86 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule or_neg)
% 10.63/11.12  (step t87 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule or_neg)
% 10.63/11.12  (step t88 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 10.63/11.12  (step t89 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 10.63/11.12  (step t90 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t91 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule or_neg)
% 10.63/11.12  (step t92 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t93 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 10.63/11.12  (step t94 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t95 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule or_neg)
% 10.63/11.12  (step t96 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule or_neg)
% 10.63/11.12  (step t97 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule or_neg)
% 10.63/11.12  (step t98 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 10.63/11.12  (step t99 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 10.63/11.12  (step t100 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 10.63/11.12  (step t101 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (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 or_neg)
% 10.63/11.12  (step t102 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule or_neg)
% 10.63/11.12  (step t103 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule or_neg)
% 10.63/11.12  (step t104 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t84 t85 t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103))
% 10.63/11.12  (step t105 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule contraction :premises (t104))
% 10.63/11.12  (step t106 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t1 t30 t105))
% 10.63/11.12  (step t107 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule or :premises (t106))
% 10.63/11.12  (step t108 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule reordering :premises (t107))
% 10.63/11.12  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t110)
% 10.63/11.12  (assume t110.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t110.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 10.63/11.12  (step t110.t2 (cl (not (forall ((X $$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_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t110.t1))
% 10.63/11.12  (step t110.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t110.t2 t110.a0))
% 10.63/11.12  (step t110 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t110.a0))
% 10.63/11.12  (step t111 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t109 t110))
% 10.63/11.12  (step t112 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 10.63/11.12  (step t113 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t111 t112))
% 10.63/11.12  (step t114 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t113))
% 10.63/11.12  (step t115 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t114))
% 10.63/11.12  (step t116 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t115 a2))
% 10.63/11.12  (step t117 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.12  (step t118 (cl (= (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.12  (step t119 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.12  (step t120 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule cong :premises (t118 t119))
% 10.63/11.12  (step t121 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t117 t120 a8))
% 10.63/11.12  (step t122 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule or :premises (t121))
% 10.63/11.12  (step t123 (cl (not (= (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule equiv_pos2)
% 10.63/11.12  (step t124 (cl (= (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule refl)
% 10.63/11.12  (step t125 (cl (= (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) true) (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule equiv_simplify)
% 10.63/11.12  (step t126 (cl (not (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) true)) (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule equiv1 :premises (t125))
% 10.63/11.12  (step t127 (cl (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))))) :rule all_simplify)
% 10.63/11.12  (step t128 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule refl)
% 10.63/11.12  (step t129 (cl (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule all_simplify)
% 10.63/11.12  (step t130 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule cong :premises (t128 t129))
% 10.63/11.12  (step t131 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) true)) :rule all_simplify)
% 10.63/11.12  (step t132 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) true)) :rule trans :premises (t130 t131))
% 10.63/11.12  (step t133 (cl (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) true)) :rule trans :premises (t127 t132))
% 10.63/11.12  (step t134 (cl (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule resolution :premises (t126 t133))
% 10.63/11.12  (step t135 (cl (= (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule refl)
% 10.63/11.12  (step t136 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))))) :rule refl)
% 10.63/11.12  (step t137 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule refl)
% 10.63/11.12  (step t138 (cl (= (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))))) :rule cong :premises (t124 t2 t3 t4 t5 t134 t18 t19 t20 t135 t22 t23 t24 t28 t136 t137))
% 10.63/11.12  (step t139 (cl (not (= (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))))) (not (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule equiv_pos2)
% 10.63/11.12  (step t140 (cl (= (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule refl)
% 10.63/11.12  (step t141 (cl (= (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))))) :rule equiv_simplify)
% 10.63/11.12  (step t142 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (not (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))))) :rule equiv2 :premises (t141))
% 10.63/11.12  (step t143 (cl (not (not (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule not_not)
% 10.63/11.12  (step t144 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t142 t143))
% 10.63/11.12  (step t145 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t146)
% 10.63/11.12  (assume t146.a0 (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))
% 10.63/11.12  (assume t146.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))
% 10.63/11.12  (step t146.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 10.63/11.12  (step t146.t2 (cl (= (= false true) false)) :rule all_simplify)
% 10.63/11.12  (step t146.t3 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule equiv_simplify)
% 10.63/11.12  (step t146.t4 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule equiv2 :premises (t146.t3))
% 10.63/11.12  (step t146.t5 (cl (not (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule not_not)
% 10.63/11.12  (step t146.t6 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t146.t4 t146.t5))
% 10.63/11.12  (step t146.t7 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false)) :rule resolution :premises (t146.t6 t146.a0))
% 10.63/11.12  (step t146.t8 (cl (= false (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule symm :premises (t146.t7))
% 10.63/11.12  (step t146.t9 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) true) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule equiv_simplify)
% 10.63/11.12  (step t146.t10 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) true) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule equiv2 :premises (t146.t9))
% 10.63/11.12  (step t146.t11 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) true)) :rule resolution :premises (t146.t10 t146.a1))
% 10.63/11.12  (step t146.t12 (cl (= false true)) :rule trans :premises (t146.t8 t146.t11))
% 10.63/11.12  (step t146.t13 (cl false) :rule resolution :premises (t146.t1 t146.t2 t146.t12))
% 10.63/11.12  (step t146 (cl (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) :rule subproof :discharge (t146.a0 t146.a1))
% 10.63/11.12  (step t147 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t148 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t149 (cl false (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule resolution :premises (t146 t147 t148))
% 10.63/11.12  (step t150 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) false) :rule reordering :premises (t149))
% 10.63/11.12  (step t151 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) false) :rule contraction :premises (t150))
% 10.63/11.12  (step t152 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) false) :rule resolution :premises (t145 t151))
% 10.63/11.12  (step t153 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (not false)) :rule implies_neg2)
% 10.63/11.12  (step t154 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false)) :rule resolution :premises (t152 t153))
% 10.63/11.12  (step t155 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false)) :rule contraction :premises (t154))
% 10.63/11.12  (step t156 (cl (= (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))))) :rule implies_simplify)
% 10.63/11.12  (step t157 (cl (not (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false)) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule equiv1 :premises (t156))
% 10.63/11.12  (step t158 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule resolution :premises (t155 t157))
% 10.63/11.12  (step t159 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) false)) :rule resolution :premises (t144 t158))
% 10.63/11.12  (step t160 (cl (= (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) false))) :rule cong :premises (t140 t159))
% 10.63/11.12  (step t161 (cl (= (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) false) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))))) :rule all_simplify)
% 10.63/11.12  (step t162 (cl (= (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))))) :rule trans :premises (t160 t161))
% 10.63/11.12  (step t163 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t164)
% 10.63/11.12  (assume t164.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t164.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t164.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t164.a3 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.12  (assume t164.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 10.63/11.12  (assume t164.a5 (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.12  (assume t164.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t164.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.12  (assume t164.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t164.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t164.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t164.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t164.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.63/11.12  (assume t164.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.63/11.12  (assume t164.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t164.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (step t164.t1 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule and_neg)
% 10.63/11.12  (step t164.t2 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t164.t3)
% 10.63/11.12  (assume t164.t3.a0 (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.12  (assume t164.t3.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t164.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t164.t3.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t164.t3.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (assume t164.t3.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t164.t3.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t164.t3.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t164.t3.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t164.t3.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t164.t3.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t164.t3.a11 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.12  (step t164.t3.t1 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule equiv_simplify)
% 10.63/11.12  (step t164.t3.t2 (cl (not (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule equiv1 :premises (t164.t3.t1))
% 10.63/11.12  (step t164.t3.t3 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t164.t3.a9))
% 10.63/11.12  (step t164.t3.t4 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t164.t3.t3))
% 10.63/11.12  (step t164.t3.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t164.t3.a8))
% 10.63/11.12  (step t164.t3.t6 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t164.t3.t5))
% 10.63/11.12  (step t164.t3.t7 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t164.t3.a3))
% 10.63/11.12  (step t164.t3.t8 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t164.t3.t7))
% 10.63/11.12  (step t164.t3.t9 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t164.t3.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t164.t3.t8 t164.t3.t9))
% 10.63/11.12  (step t164.t3.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t164.t3.t10))
% 10.63/11.12  (step t164.t3.t12 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t164.t3.a2 t164.t3.t11))
% 10.63/11.12  (step t164.t3.t13 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.12  (step t164.t3.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule cong :premises (t164.t3.t12 t164.t3.t13))
% 10.63/11.12  (step t164.t3.t15 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t164.t3.a7))
% 10.63/11.12  (step t164.t3.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule symm :premises (t164.t3.t15))
% 10.63/11.12  (step t164.t3.t17 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t164.t3.t18 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t164.t3.a6))
% 10.63/11.12  (step t164.t3.t19 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t164.t3.t18))
% 10.63/11.12  (step t164.t3.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t164.t3.t19 t164.t3.t13))
% 10.63/11.12  (step t164.t3.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t164.t3.a5))
% 10.63/11.12  (step t164.t3.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) tptp.identity)) :rule trans :premises (t164.t3.t20 t164.t3.t21))
% 10.63/11.12  (step t164.t3.t23 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule cong :premises (t164.t3.t17 t164.t3.t22))
% 10.63/11.12  (step t164.t3.t24 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c6 tptp.identity))) :rule trans :premises (t164.t3.t6 t164.t3.t14 t164.t3.t16 t164.t3.t23))
% 10.63/11.12  (step t164.t3.t25 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule cong :premises (t164.t3.t24 t164.t3.t9))
% 10.63/11.12  (step t164.t3.t26 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t164.t3.a4))
% 10.63/11.12  (step t164.t3.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t164.t3.t26))
% 10.63/11.12  (step t164.t3.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t164.t3.a1))
% 10.63/11.12  (step t164.t3.t29 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t164.t3.t17 t164.t3.t28))
% 10.63/11.12  (step t164.t3.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t164.t3.a2))
% 10.63/11.12  (step t164.t3.t31 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t164.t3.t4 t164.t3.t25 t164.t3.t27 t164.t3.t29 t164.t3.t10 t164.t3.t30))
% 10.63/11.12  (step t164.t3.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t164.t3.t31 t164.t3.t9))
% 10.63/11.12  (step t164.t3.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t164.t3.t32))
% 10.63/11.12  (step t164.t3.t34 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t164.t3.t29))
% 10.63/11.12  (step t164.t3.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t164.t3.t25))
% 10.63/11.12  (step t164.t3.t36 (cl (= tptp.sk_c7 tptp.sk_c6)) :rule trans :premises (t164.t3.a1 t164.t3.t33 t164.t3.t34 t164.t3.t26 t164.t3.t35 t164.t3.t3))
% 10.63/11.12  (step t164.t3.t37 (cl (= tptp.sk_c6 tptp.sk_c7)) :rule symm :premises (t164.t3.t36))
% 10.63/11.12  (step t164.t3.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t164.t3.a10))
% 10.63/11.12  (step t164.t3.t39 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t164.t3.t38))
% 10.63/11.12  (step t164.t3.t40 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.12  (step t164.t3.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t164.t3.t12 t164.t3.t40))
% 10.63/11.12  (step t164.t3.t42 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule symm :premises (t164.t3.t12))
% 10.63/11.12  (step t164.t3.t43 (cl (= tptp.identity tptp.sk_c6)) :rule symm :premises (t164.t3.t31))
% 10.63/11.12  (step t164.t3.t44 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t164.t3.t42 t164.t3.t43))
% 10.63/11.12  (step t164.t3.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule cong :premises (t164.t3.t44 t164.t3.t40))
% 10.63/11.12  (step t164.t3.t46 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule trans :premises (t164.t3.t39 t164.t3.t41 t164.t3.t45))
% 10.63/11.12  (step t164.t3.t47 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t164.t3.t46))
% 10.63/11.12  (step t164.t3.t48 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.63/11.12  (step t164.t3.t49 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule cong :premises (t164.t3.t48 t164.t3.t36))
% 10.63/11.12  (step t164.t3.t50 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t164.t3.a11))
% 10.63/11.12  (step t164.t3.t51 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t164.t3.t49 t164.t3.t50))
% 10.63/11.12  (step t164.t3.t52 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule symm :premises (t164.t3.t51))
% 10.63/11.12  (step t164.t3.t53 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule trans :premises (t164.t3.t47 t164.t3.t52))
% 10.63/11.12  (step t164.t3.t54 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule symm :premises (t164.t3.t53))
% 10.63/11.12  (step t164.t3.t55 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule cong :premises (t164.t3.t37 t164.t3.t54))
% 10.63/11.12  (step t164.t3.t56 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) false) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule equiv_simplify)
% 10.63/11.12  (step t164.t3.t57 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) false) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule equiv2 :premises (t164.t3.t56))
% 10.63/11.12  (step t164.t3.t58 (cl (not (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule not_not)
% 10.63/11.12  (step t164.t3.t59 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) false) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule resolution :premises (t164.t3.t57 t164.t3.t58))
% 10.63/11.12  (step t164.t3.t60 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) false)) :rule resolution :premises (t164.t3.t59 t164.t3.a0))
% 10.63/11.12  (step t164.t3.t61 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) false)) :rule trans :premises (t164.t3.t55 t164.t3.t60))
% 10.63/11.12  (step t164.t3.t62 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t164.t3.t2 t164.t3.t61))
% 10.63/11.12  (step t164.t3 (cl (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule subproof :discharge (t164.t3.a0 t164.t3.a1 t164.t3.a2 t164.t3.a3 t164.t3.a4 t164.t3.a5 t164.t3.a6 t164.t3.a7 t164.t3.a8 t164.t3.a9 t164.t3.a10 t164.t3.a11))
% 10.63/11.12  (step t164.t4 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.12  (step t164.t5 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t6 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t7 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t8 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t164.t9 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t10 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t11 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t164.t12 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t13 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t14 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t164.t15 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t164.t16 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t164.t3 t164.t4 t164.t5 t164.t6 t164.t7 t164.t8 t164.t9 t164.t10 t164.t11 t164.t12 t164.t13 t164.t14 t164.t15))
% 10.63/11.12  (step t164.t17 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule reordering :premises (t164.t16))
% 10.63/11.12  (step t164.t18 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t164.t17))
% 10.63/11.12  (step t164.t19 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t164.t2 t164.t18))
% 10.63/11.12  (step t164.t20 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.12  (step t164.t21 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule resolution :premises (t164.t19 t164.t20))
% 10.63/11.12  (step t164.t22 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule contraction :premises (t164.t21))
% 10.63/11.12  (step t164.t23 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies :premises (t164.t22))
% 10.63/11.12  (step t164.t24 (cl (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_neg)
% 10.63/11.12  (step t164.t25 (cl (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t164.t24 t164.a5 t164.a6 t164.a8 t164.a0 t164.a15 t164.a10 t164.a2 t164.a14 t164.a9 t164.a1 t164.a11 t164.a3))
% 10.63/11.12  (step t164.t26 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t164.t23 t164.t25))
% 10.63/11.12  (step t164.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t164.t28)
% 10.63/11.12  (assume t164.t28.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t164.t28.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t164.t28.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t164.t28.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (assume t164.t28.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t164.t28.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t164.t28.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t164.t28.a7 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t164.t28.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t164.t28.a9 (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.63/11.12  (assume t164.t28.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t164.t28.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 10.63/11.12  (assume t164.t28.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.63/11.12  (assume t164.t28.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.63/11.12  (assume t164.t28.a14 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.12  (step t164.t28.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t164.t28.a14))
% 10.63/11.12  (step t164.t28.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t164.t28.t1))
% 10.63/11.12  (step t164.t28.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t164.t28.a13))
% 10.63/11.12  (step t164.t28.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t164.t28.t3))
% 10.63/11.12  (step t164.t28.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t164.t28.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t164.t28.t4 t164.t28.t5))
% 10.63/11.12  (step t164.t28.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t164.t28.a12))
% 10.63/11.12  (step t164.t28.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t164.t28.t7))
% 10.63/11.12  (step t164.t28.t9 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t164.t28.a11))
% 10.63/11.12  (step t164.t28.t10 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t164.t28.a8))
% 10.63/11.12  (step t164.t28.t11 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t164.t28.t10))
% 10.63/11.12  (step t164.t28.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t164.t28.a7))
% 10.63/11.12  (step t164.t28.t13 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t164.t28.t12))
% 10.63/11.12  (step t164.t28.t14 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t164.t28.a2))
% 10.63/11.12  (step t164.t28.t15 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t164.t28.t14))
% 10.63/11.12  (step t164.t28.t16 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t164.t28.t17 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t164.t28.t15 t164.t28.t16))
% 10.63/11.12  (step t164.t28.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t164.t28.t17))
% 10.63/11.12  (step t164.t28.t19 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t164.t28.a1 t164.t28.t18))
% 10.63/11.12  (step t164.t28.t20 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.12  (step t164.t28.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule cong :premises (t164.t28.t19 t164.t28.t20))
% 10.63/11.12  (step t164.t28.t22 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t164.t28.a6))
% 10.63/11.12  (step t164.t28.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule symm :premises (t164.t28.t22))
% 10.63/11.12  (step t164.t28.t24 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t164.t28.a5))
% 10.63/11.12  (step t164.t28.t25 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t164.t28.t24))
% 10.63/11.12  (step t164.t28.t26 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t164.t28.t25 t164.t28.t20))
% 10.63/11.12  (step t164.t28.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t164.t28.a4))
% 10.63/11.12  (step t164.t28.t28 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) tptp.identity)) :rule trans :premises (t164.t28.t26 t164.t28.t27))
% 10.63/11.12  (step t164.t28.t29 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule cong :premises (t164.t28.t5 t164.t28.t28))
% 10.63/11.12  (step t164.t28.t30 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c6 tptp.identity))) :rule trans :premises (t164.t28.t13 t164.t28.t21 t164.t28.t23 t164.t28.t29))
% 10.63/11.12  (step t164.t28.t31 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule cong :premises (t164.t28.t30 t164.t28.t16))
% 10.63/11.12  (step t164.t28.t32 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t164.t28.a3))
% 10.63/11.12  (step t164.t28.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t164.t28.t32))
% 10.63/11.12  (step t164.t28.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t164.t28.a0))
% 10.63/11.12  (step t164.t28.t35 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t164.t28.t5 t164.t28.t34))
% 10.63/11.12  (step t164.t28.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t164.t28.a1))
% 10.63/11.12  (step t164.t28.t37 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t164.t28.t9 t164.t28.t11 t164.t28.t31 t164.t28.t33 t164.t28.t35 t164.t28.t17 t164.t28.t36))
% 10.63/11.12  (step t164.t28.t38 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t164.t28.t37 t164.t28.t19))
% 10.63/11.12  (step t164.t28.t39 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t164.t28.a9))
% 10.63/11.12  (step t164.t28.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t164.t28.t38 t164.t28.t39))
% 10.63/11.12  (step t164.t28.t41 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule symm :premises (t164.t28.t19))
% 10.63/11.12  (step t164.t28.t42 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.12  (step t164.t28.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t164.t28.t41 t164.t28.t42))
% 10.63/11.12  (step t164.t28.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t164.t28.a10))
% 10.63/11.12  (step t164.t28.t45 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t164.t28.t44))
% 10.63/11.12  (step t164.t28.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t164.t28.t45))
% 10.63/11.12  (step t164.t28.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t164.t28.t39))
% 10.63/11.12  (step t164.t28.t48 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.63/11.12  (step t164.t28.t49 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t164.t28.t11 t164.t28.t31 t164.t28.t33 t164.t28.t35 t164.t28.t17 t164.t28.t36))
% 10.63/11.12  (step t164.t28.t50 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t164.t28.t49 t164.t28.t16))
% 10.63/11.12  (step t164.t28.t51 (cl (= tptp.sk_c6 tptp.sk_c7)) :rule trans :premises (t164.t28.t11 t164.t28.t31 t164.t28.t33 t164.t28.t35 t164.t28.t50 t164.t28.t34))
% 10.63/11.12  (step t164.t28.t52 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule cong :premises (t164.t28.t48 t164.t28.t51))
% 10.63/11.12  (step t164.t28.t53 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule trans :premises (t164.t28.t2 t164.t28.t6 t164.t28.t8 t164.t28.t40 t164.t28.t43 t164.t28.t46 t164.t28.t47 t164.t28.t52))
% 10.63/11.12  (step t164.t28 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t164.t28.a0 t164.t28.a1 t164.t28.a2 t164.t28.a3 t164.t28.a4 t164.t28.a5 t164.t28.a6 t164.t28.a7 t164.t28.a8 t164.t28.a9 t164.t28.a10 t164.t28.a11 t164.t28.a12 t164.t28.a13 t164.t28.a14))
% 10.63/11.12  (step t164.t29 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t30 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t31 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t32 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t164.t33 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t34 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t35 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t164.t36 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t164.t37 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t164.t38 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t164.t39 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t164.t40 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t164.t41 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t164.t42 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= 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)
% 10.63/11.12  (step t164.t43 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t164.t44 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t164.t28 t164.t29 t164.t30 t164.t31 t164.t32 t164.t33 t164.t34 t164.t35 t164.t36 t164.t37 t164.t38 t164.t39 t164.t40 t164.t41 t164.t42 t164.t43))
% 10.63/11.12  (step t164.t45 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t164.t44))
% 10.63/11.12  (step t164.t46 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t164.t45))
% 10.63/11.12  (step t164.t47 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t164.t27 t164.t46))
% 10.63/11.12  (step t164.t48 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.12  (step t164.t49 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t164.t47 t164.t48))
% 10.63/11.12  (step t164.t50 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t164.t49))
% 10.63/11.12  (step t164.t51 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t164.t50))
% 10.63/11.12  (step t164.t52 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 10.63/11.12  (step t164.t53 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t164.t52 t164.a6 t164.a8 t164.a0 t164.a15 t164.a10 t164.a2 t164.a14 t164.a9 t164.a1 t164.a3 t164.a11 t164.a4 t164.a13 t164.a12 t164.a7))
% 10.63/11.12  (step t164.t54 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t164.t51 t164.t53))
% 10.63/11.12  (step t164.t55 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t164.t1 t164.t26 t164.t54))
% 10.63/11.12  (step t164 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule subproof :discharge (t164.a0 t164.a1 t164.a2 t164.a3 t164.a4 t164.a5 t164.a6 t164.a7 t164.a8 t164.a9 t164.a10 t164.a11 t164.a12 t164.a13 t164.a14 t164.a15))
% 10.63/11.12  (step t165 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t166 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t167 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t168 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t169 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t170 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.12  (step t171 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t172 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t173 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t174 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t175 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t176 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t177 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.63/11.12  (step t178 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t179 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t180 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t181 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t164 t165 t166 t167 t168 t169 t170 t171 t172 t173 t174 t175 t176 t177 t178 t179 t180))
% 10.63/11.12  (step t182 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule reordering :premises (t181))
% 10.63/11.12  (step t183 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t182))
% 10.63/11.12  (step t184 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t163 t183))
% 10.63/11.12  (step t185 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.12  (step t186 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule resolution :premises (t184 t185))
% 10.63/11.12  (step t187 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))))) :rule contraction :premises (t186))
% 10.63/11.12  (step t188 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t139 t162 t187))
% 10.63/11.12  (step t189 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule not_and :premises (t188))
% 10.63/11.12  (step t190 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t191 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t192 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule or_neg)
% 10.63/11.12  (step t193 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule or_neg)
% 10.63/11.12  (step t194 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 10.63/11.12  (step t195 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))))) :rule or_neg)
% 10.63/11.12  (step t196 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t197 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 10.63/11.12  (step t198 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 10.63/11.12  (step t199 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule or_neg)
% 10.63/11.12  (step t200 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule or_neg)
% 10.63/11.12  (step t201 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule or_neg)
% 10.63/11.12  (step t202 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 10.63/11.12  (step t203 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule or_neg)
% 10.63/11.12  (step t204 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))))) :rule or_neg)
% 10.63/11.12  (step t205 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule or_neg)
% 10.63/11.12  (step t206 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t189 t190 t191 t192 t193 t194 t195 t196 t197 t198 t199 t200 t201 t202 t203 t204 t205))
% 10.63/11.12  (step t207 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule contraction :premises (t206))
% 10.63/11.12  (step t208 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t123 t138 t207))
% 10.63/11.12  (step t209 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or :premises (t208))
% 10.63/11.12  (step t210 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t209))
% 10.63/11.12  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t212)
% 10.63/11.12  (assume t212.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t212.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.identity) (:= Z tptp.sk_c7)))
% 10.63/11.12  (step t212.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule or :premises (t212.t1))
% 10.63/11.12  (step t212.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t212.t2 t212.a0))
% 10.63/11.12  (step t212 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule subproof :discharge (t212.a0))
% 10.63/11.12  (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t211 t212))
% 10.63/11.12  (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.12  (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t213 t214))
% 10.63/11.12  (step t216 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule contraction :premises (t215))
% 10.63/11.12  (step t217 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies :premises (t216))
% 10.63/11.12  (step t218 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t217 a2))
% 10.63/11.12  (step t219 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t220)
% 10.63/11.12  (assume t220.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t220.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c2)))
% 10.63/11.12  (step t220.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule or :premises (t220.t1))
% 10.63/11.12  (step t220.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule resolution :premises (t220.t2 t220.a0))
% 10.63/11.12  (step t220 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule subproof :discharge (t220.a0))
% 10.63/11.12  (step t221 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule resolution :premises (t219 t220))
% 10.63/11.12  (step t222 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))) :rule implies_neg2)
% 10.63/11.12  (step t223 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))) :rule resolution :premises (t221 t222))
% 10.63/11.12  (step t224 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))) :rule contraction :premises (t223))
% 10.63/11.12  (step t225 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule implies :premises (t224))
% 10.63/11.12  (step t226 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule resolution :premises (t225 a2))
% 10.63/11.12  (step t227 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t228)
% 10.63/11.12  (assume t228.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t228.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c6)))
% 10.63/11.12  (step t228.t2 (cl (not (forall ((X $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or :premises (t228.t1))
% 10.63/11.12  (step t228.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t228.t2 t228.a0))
% 10.63/11.12  (step t228 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule subproof :discharge (t228.a0))
% 10.63/11.12  (step t229 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t227 t228))
% 10.63/11.12  (step t230 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg2)
% 10.63/11.12  (step t231 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t229 t230))
% 10.63/11.12  (step t232 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule contraction :premises (t231))
% 10.63/11.12  (step t233 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies :premises (t232))
% 10.63/11.12  (step t234 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t233 a2))
% 10.63/11.12  (step t235 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t236)
% 10.63/11.12  (assume t236.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.63/11.12  (step t236.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 10.63/11.12  (step t236.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t236.t1))
% 10.63/11.12  (step t236.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t236.t2 t236.a0))
% 10.63/11.12  (step t236 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t236.a0))
% 10.63/11.12  (step t237 (cl (=> (forall ((X $$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 (t235 t236))
% 10.63/11.12  (step t238 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 10.63/11.12  (step t239 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t237 t238))
% 10.63/11.12  (step t240 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t239))
% 10.63/11.12  (step t241 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t240))
% 10.63/11.12  (step t242 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 10.63/11.12  (anchor :step t243 :args ((X $$unsorted) (:= X X)))
% 10.63/11.12  (step t243.t1 (cl (= X X)) :rule refl)
% 10.63/11.12  (step t243.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 10.63/11.12  (step t243 (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)
% 10.63/11.12  (step t244 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t242 t243 a1))
% 10.63/11.12  (step t245 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t241 t244))
% 10.63/11.12  (step t246 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t247)
% 10.63/11.12  (assume t247.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.12  (step t247.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 10.63/11.12  (step t247.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t247.t1))
% 10.63/11.12  (step t247.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t247.t2 t247.a0))
% 10.63/11.12  (step t247 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t247.a0))
% 10.63/11.12  (step t248 (cl (=> (forall ((X $$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 (t246 t247))
% 10.63/11.12  (step t249 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 10.63/11.12  (step t250 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t248 t249))
% 10.63/11.12  (step t251 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t250))
% 10.63/11.12  (step t252 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t251))
% 10.63/11.12  (step t253 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 10.63/11.12  (anchor :step t254 :args ((X $$unsorted) (:= X X)))
% 10.63/11.12  (step t254.t1 (cl (= X X)) :rule refl)
% 10.63/11.12  (step t254.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 10.63/11.12  (step t254 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 10.63/11.12  (step t255 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t253 t254 a0))
% 10.63/11.12  (step t256 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t252 t255))
% 10.63/11.12  (step t257 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t258)
% 10.63/11.12  (assume t258.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.63/11.12  (step t258.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.63/11.12  (step t258.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t258.t1))
% 10.63/11.12  (step t258.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t258.t2 t258.a0))
% 10.63/11.12  (step t258 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t258.a0))
% 10.63/11.12  (step t259 (cl (=> (forall ((X $$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 (t257 t258))
% 10.63/11.12  (step t260 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 10.63/11.12  (step t261 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t259 t260))
% 10.63/11.12  (step t262 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t261))
% 10.63/11.12  (step t263 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t262))
% 10.63/11.12  (step t264 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t263 t244))
% 10.63/11.12  (step t265 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t266)
% 10.63/11.12  (assume t266.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.12  (step t266.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.63/11.12  (step t266.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t266.t1))
% 10.63/11.12  (step t266.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t266.t2 t266.a0))
% 10.63/11.12  (step t266 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t266.a0))
% 10.63/11.12  (step t267 (cl (=> (forall ((X $$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 (t265 t266))
% 10.63/11.12  (step t268 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 10.63/11.12  (step t269 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t267 t268))
% 10.63/11.12  (step t270 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t269))
% 10.63/11.12  (step t271 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t270))
% 10.63/11.12  (step t272 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t271 t255))
% 10.63/11.12  (step t273 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t274)
% 10.63/11.12  (assume t274.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.63/11.12  (step t274.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.63/11.12  (step t274.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t274.t1))
% 10.63/11.12  (step t274.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t274.t2 t274.a0))
% 10.63/11.12  (step t274 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t274.a0))
% 10.63/11.12  (step t275 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t273 t274))
% 10.63/11.12  (step t276 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.12  (step t277 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t275 t276))
% 10.63/11.12  (step t278 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t277))
% 10.63/11.12  (step t279 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t278))
% 10.63/11.12  (step t280 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t279 t244))
% 10.63/11.12  (step t281 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t282)
% 10.63/11.12  (assume t282.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.12  (step t282.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 10.63/11.12  (step t282.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t282.t1))
% 10.63/11.12  (step t282.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t282.t2 t282.a0))
% 10.63/11.12  (step t282 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t282.a0))
% 10.63/11.12  (step t283 (cl (=> (forall ((X $$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 (t281 t282))
% 10.63/11.12  (step t284 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.12  (step t285 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t283 t284))
% 10.63/11.12  (step t286 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t285))
% 10.63/11.12  (step t287 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t286))
% 10.63/11.12  (step t288 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t287 t255))
% 10.63/11.12  (step t289 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t290)
% 10.63/11.12  (assume t290.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.12  (step t290.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.63/11.12  (step t290.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t290.t1))
% 10.63/11.12  (step t290.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t290.t2 t290.a0))
% 10.63/11.12  (step t290 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t290.a0))
% 10.63/11.12  (step t291 (cl (=> (forall ((X $$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 (t289 t290))
% 10.63/11.12  (step t292 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.12  (step t293 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t291 t292))
% 10.63/11.12  (step t294 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t293))
% 10.63/11.12  (step t295 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t294))
% 10.63/11.12  (step t296 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t295 t255))
% 10.63/11.12  (step t297 (cl (not (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.63/11.12  (step t298 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule all_simplify)
% 10.63/11.12  (step t299 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 10.63/11.12  (step t300 (cl (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t298 t299))
% 10.63/11.12  (step t301 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t297 t300 a12))
% 10.63/11.12  (step t302 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t301))
% 10.63/11.12  (step t303 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule reordering :premises (t302))
% 10.63/11.12  (step t304 (cl (not (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.63/11.12  (step t305 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule all_simplify)
% 10.63/11.12  (step t306 (cl (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t298 t305))
% 10.63/11.12  (step t307 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t304 t306 a11))
% 10.63/11.12  (step t308 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t307))
% 10.63/11.12  (step t309 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule reordering :premises (t308))
% 10.63/11.12  (step t310 (cl (not (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 10.63/11.12  (step t311 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 10.63/11.12  (step t312 (cl (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t298 t311))
% 10.63/11.12  (step t313 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t310 t312 a10))
% 10.63/11.12  (step t314 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule or :premises (t313))
% 10.63/11.12  (step t315 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule reordering :premises (t314))
% 10.63/11.12  (step t316 (cl (not (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.12  (step t317 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.12  (step t318 (cl (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t298 t317))
% 10.63/11.12  (step t319 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t316 t318 a9))
% 10.63/11.12  (step t320 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule or :premises (t319))
% 10.63/11.12  (step t321 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule reordering :premises (t320))
% 10.63/11.12  (step t322 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule resolution :premises (t210 t218 t226 t234 t245 t256 t264 t272 t280 t288 t296 t303 t309 t315 t321))
% 10.63/11.12  (step t323 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t322))
% 10.63/11.12  (step t324 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule and_neg)
% 10.63/11.12  (step t325 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t326)
% 10.63/11.12  (assume t326.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t326.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t326.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t326.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.12  (assume t326.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.12  (assume t326.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t326.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.12  (assume t326.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t326.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t326.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t326.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))
% 10.63/11.12  (assume t326.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t326.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.12  (assume t326.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 10.63/11.12  (assume t326.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t326.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (step t326.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t326.t2)
% 10.63/11.12  (assume t326.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.12  (assume t326.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t326.t2.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t326.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t326.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (assume t326.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t326.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t326.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t326.t2.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t326.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t326.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.12  (assume t326.t2.a11 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.12  (assume t326.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))
% 10.63/11.12  (assume t326.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.12  (assume t326.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.12  (assume t326.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 10.63/11.12  (step t326.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t326.t2.a9))
% 10.63/11.12  (step t326.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t326.t2.t1))
% 10.63/11.12  (step t326.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t326.t2.a8))
% 10.63/11.12  (step t326.t2.t4 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t326.t2.t3))
% 10.63/11.12  (step t326.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t326.t2.a2))
% 10.63/11.12  (step t326.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t326.t2.t5))
% 10.63/11.12  (step t326.t2.t7 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t326.t2.t8 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t326.t2.t6 t326.t2.t7))
% 10.63/11.12  (step t326.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t326.t2.a1))
% 10.63/11.12  (step t326.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t326.t2.t8 t326.t2.t9))
% 10.63/11.12  (step t326.t2.t11 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t326.t2.t10))
% 10.63/11.12  (step t326.t2.t12 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.12  (step t326.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule cong :premises (t326.t2.t11 t326.t2.t12))
% 10.63/11.12  (step t326.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t326.t2.a7))
% 10.63/11.12  (step t326.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule symm :premises (t326.t2.t14))
% 10.63/11.12  (step t326.t2.t16 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t326.t2.t17 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t326.t2.a6))
% 10.63/11.12  (step t326.t2.t18 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t326.t2.t17))
% 10.63/11.12  (step t326.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t326.t2.t18 t326.t2.t12))
% 10.63/11.12  (step t326.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t326.t2.a5))
% 10.63/11.12  (step t326.t2.t21 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) tptp.identity)) :rule trans :premises (t326.t2.t19 t326.t2.t20))
% 10.63/11.12  (step t326.t2.t22 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule cong :premises (t326.t2.t16 t326.t2.t21))
% 10.63/11.12  (step t326.t2.t23 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c6 tptp.identity))) :rule trans :premises (t326.t2.t4 t326.t2.t13 t326.t2.t15 t326.t2.t22))
% 10.63/11.12  (step t326.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule cong :premises (t326.t2.t23 t326.t2.t7))
% 10.63/11.12  (step t326.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t326.t2.a4))
% 10.63/11.12  (step t326.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t326.t2.t25))
% 10.63/11.12  (step t326.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t326.t2.a3))
% 10.63/11.12  (step t326.t2.t28 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t326.t2.t16 t326.t2.t27))
% 10.63/11.12  (step t326.t2.t29 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t326.t2.t2 t326.t2.t24 t326.t2.t26 t326.t2.t28 t326.t2.t8 t326.t2.t9))
% 10.63/11.12  (step t326.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t326.t2.t29 t326.t2.t7))
% 10.63/11.12  (step t326.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule cong :premises (t326.t2.a5 t326.t2.t7))
% 10.63/11.12  (step t326.t2.t32 (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 (t326.t2.a15))
% 10.63/11.12  (step t326.t2.t33 (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 symm :premises (t326.t2.t32))
% 10.63/11.12  (step t326.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t326.t2.t17 t326.t2.t1))
% 10.63/11.12  (step t326.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t326.t2.a14))
% 10.63/11.12  (step t326.t2.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t326.t2.t35))
% 10.63/11.12  (step t326.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t326.t2.t7 t326.t2.t36))
% 10.63/11.12  (step t326.t2.t38 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6))) :rule symm :premises (t326.t2.a13))
% 10.63/11.12  (step t326.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule refl)
% 10.63/11.12  (step t326.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity))) :rule cong :premises (t326.t2.t39 t326.t2.t29))
% 10.63/11.12  (step t326.t2.t41 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity))) :rule symm :premises (t326.t2.a12))
% 10.63/11.12  (step t326.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t326.t2.t41))
% 10.63/11.12  (step t326.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t326.t2.a11))
% 10.63/11.12  (step t326.t2.t44 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t326.t2.t7 t326.t2.t43))
% 10.63/11.12  (step t326.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t326.t2.t8))
% 10.63/11.12  (step t326.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t326.t2.a10))
% 10.63/11.12  (step t326.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule symm :premises (t326.t2.t46))
% 10.63/11.12  (step t326.t2.t48 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t326.t2.t29 t326.t2.t11))
% 10.63/11.12  (step t326.t2.t49 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.12  (step t326.t2.t50 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t326.t2.t48 t326.t2.t49))
% 10.63/11.12  (step t326.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t326.t2.t10 t326.t2.t49))
% 10.63/11.12  (step t326.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t326.t2.a0))
% 10.63/11.12  (step t326.t2.t53 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t326.t2.a1 t326.t2.t45 t326.t2.t30 t326.t2.t27 t326.t2.t47 t326.t2.t50 t326.t2.t51 t326.t2.t52))
% 10.63/11.12  (step t326.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t326.t2.t7 t326.t2.t53))
% 10.63/11.12  (step t326.t2.t55 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t326.t2.t2 t326.t2.t24 t326.t2.t26 t326.t2.t28 t326.t2.t30 t326.t2.t31 t326.t2.t33 t326.t2.t34 t326.t2.t37 t326.t2.t38 t326.t2.t40 t326.t2.t42 t326.t2.t44 t326.t2.t54))
% 10.63/11.12  (step t326.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply 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_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.sk_c5))) :rule subproof :discharge (t326.t2.a0 t326.t2.a1 t326.t2.a2 t326.t2.a3 t326.t2.a4 t326.t2.a5 t326.t2.a6 t326.t2.a7 t326.t2.a8 t326.t2.a9 t326.t2.a10 t326.t2.a11 t326.t2.a12 t326.t2.a13 t326.t2.a14 t326.t2.a15))
% 10.63/11.12  (step t326.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t326.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t326.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t326.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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)
% 10.63/11.12  (step t326.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t326.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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)
% 10.63/11.12  (step t326.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t326.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t326.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t326.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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_c7))) :rule and_pos)
% 10.63/11.12  (step t326.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t326.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.12  (step t326.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 10.63/11.12  (step t326.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t326.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t326.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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)
% 10.63/11.12  (step t326.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t326.t2 t326.t3 t326.t4 t326.t5 t326.t6 t326.t7 t326.t8 t326.t9 t326.t10 t326.t11 t326.t12 t326.t13 t326.t14 t326.t15 t326.t16 t326.t17 t326.t18))
% 10.63/11.12  (step t326.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) :rule reordering :premises (t326.t19))
% 10.63/11.12  (step t326.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) :rule contraction :premises (t326.t20))
% 10.63/11.12  (step t326.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t326.t1 t326.t21))
% 10.63/11.12  (step t326.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 10.63/11.12  (step t326.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5)))) :rule resolution :premises (t326.t22 t326.t23))
% 10.63/11.12  (step t326.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5)))) :rule contraction :premises (t326.t24))
% 10.63/11.12  (step t326.t26 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_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.sk_c5))) :rule implies :premises (t326.t25))
% 10.63/11.12  (step t326.t27 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply 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_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)
% 10.63/11.12  (step t326.t28 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t326.t27 t326.a11 t326.a7 t326.a0 t326.a5 t326.a15 t326.a9 t326.a2 t326.a14 t326.a8 t326.a1 t326.a3 t326.a4 t326.a10 t326.a12 t326.a6 t326.a13))
% 10.63/11.12  (step t326.t29 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t326.t26 t326.t28))
% 10.63/11.12  (step t326 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t326.a0 t326.a1 t326.a2 t326.a3 t326.a4 t326.a5 t326.a6 t326.a7 t326.a8 t326.a9 t326.a10 t326.a11 t326.a12 t326.a13 t326.a14 t326.a15))
% 10.63/11.12  (step t327 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t328 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t329 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t330 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t331 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.12  (step t332 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t333 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.12  (step t334 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t335 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t336 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t337 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 10.63/11.12  (step t338 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.12  (step t339 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.12  (step t340 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.12  (step t341 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t342 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t343 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t326 t327 t328 t329 t330 t331 t332 t333 t334 t335 t336 t337 t338 t339 t340 t341 t342))
% 10.63/11.12  (step t344 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t343))
% 10.63/11.12  (step t345 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t344))
% 10.63/11.12  (step t346 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t325 t345))
% 10.63/11.12  (step t347 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 10.63/11.12  (step t348 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t346 t347))
% 10.63/11.12  (step t349 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t348))
% 10.63/11.12  (step t350 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t349))
% 10.63/11.12  (step t351 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t324 t350))
% 10.63/11.12  (step t352 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t351))
% 10.63/11.12  (step t353 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t354)
% 10.63/11.12  (assume t354.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t354.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c7)))
% 10.63/11.12  (step t354.t2 (cl (not (forall ((X $$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 (t354.t1))
% 10.63/11.12  (step t354.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 (t354.t2 t354.a0))
% 10.63/11.12  (step t354 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule subproof :discharge (t354.a0))
% 10.63/11.12  (step t355 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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 (t353 t354))
% 10.63/11.12  (step t356 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.12  (step t357 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t355 t356))
% 10.63/11.12  (step t358 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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 (t357))
% 10.63/11.12  (step t359 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule implies :premises (t358))
% 10.63/11.12  (step t360 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t359 a2))
% 10.63/11.12  (step t361 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t362)
% 10.63/11.12  (assume t362.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t362.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.identity) (:= Z tptp.sk_c6)))
% 10.63/11.12  (step t362.t2 (cl (not (forall ((X $$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.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule or :premises (t362.t1))
% 10.63/11.12  (step t362.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t362.t2 t362.a0))
% 10.63/11.12  (step t362 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule subproof :discharge (t362.a0))
% 10.63/11.12  (step t363 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t361 t362))
% 10.63/11.12  (step t364 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule implies_neg2)
% 10.63/11.12  (step t365 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t363 t364))
% 10.63/11.12  (step t366 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule contraction :premises (t365))
% 10.63/11.12  (step t367 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies :premises (t366))
% 10.63/11.12  (step t368 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t367 a2))
% 10.63/11.12  (step t369 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t370)
% 10.63/11.12  (assume t370.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.12  (step t370.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.identity) (:= Z tptp.identity)))
% 10.63/11.12  (step t370.t2 (cl (not (forall ((X $$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.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule or :premises (t370.t1))
% 10.63/11.12  (step t370.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t370.t2 t370.a0))
% 10.63/11.12  (step t370 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule subproof :discharge (t370.a0))
% 10.63/11.12  (step t371 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t369 t370))
% 10.63/11.12  (step t372 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.63/11.12  (step t373 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t371 t372))
% 10.63/11.12  (step t374 (cl (=> (forall ((X $$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.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))) :rule contraction :premises (t373))
% 10.63/11.12  (step t375 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule implies :premises (t374))
% 10.63/11.12  (step t376 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t375 a2))
% 10.63/11.12  (step t377 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t378)
% 10.63/11.12  (assume t378.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.12  (step t378.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 10.63/11.12  (step t378.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t378.t1))
% 10.63/11.12  (step t378.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t378.t2 t378.a0))
% 10.63/11.12  (step t378 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t378.a0))
% 10.63/11.12  (step t379 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t377 t378))
% 10.63/11.12  (step t380 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 10.63/11.12  (step t381 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t379 t380))
% 10.63/11.12  (step t382 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t381))
% 10.63/11.12  (step t383 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t382))
% 10.63/11.12  (step t384 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t383 t255))
% 10.63/11.12  (step t385 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 10.63/11.12  (step t386 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule all_simplify)
% 10.63/11.12  (step t387 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t386 t311))
% 10.63/11.12  (step t388 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t385 t387 a16))
% 10.63/11.12  (step t389 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule or :premises (t388))
% 10.63/11.12  (step t390 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t389))
% 10.63/11.12  (step t391 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.12  (step t392 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t386 t317))
% 10.63/11.12  (step t393 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t391 t392 a15))
% 10.63/11.12  (step t394 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule or :premises (t393))
% 10.63/11.12  (step t395 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t394))
% 10.63/11.12  (step t396 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t352 t218 t226 t360 t368 t256 t376 t264 t272 t280 t288 t296 t384 t390 t395))
% 10.63/11.12  (step t397 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule contraction :premises (t396))
% 10.63/11.12  (step t398 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t399)
% 10.63/11.12  (assume t399.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))))
% 10.63/11.12  (step t399.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule forall_inst :args ((:= X2 tptp.sk_c7)))
% 10.63/11.12  (step t399.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule or :premises (t399.t1))
% 10.63/11.12  (step t399.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t399.t2 t399.a0))
% 10.63/11.12  (step t399 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule subproof :discharge (t399.a0))
% 10.63/11.12  (step t400 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t398 t399))
% 10.63/11.12  (step t401 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule implies_neg2)
% 10.63/11.12  (step t402 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t400 t401))
% 10.63/11.12  (step t403 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule contraction :premises (t402))
% 10.63/11.12  (step t404 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies :premises (t403))
% 10.63/11.12  (step t405 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or_pos)
% 10.63/11.12  (step t406 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule reordering :premises (t405))
% 10.63/11.12  (step t407 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse 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))))) :rule and_neg)
% 10.63/11.12  (step t408 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.12  (anchor :step t409)
% 10.63/11.12  (assume t409.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t409.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t409.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t409.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t409.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))))
% 10.63/11.12  (step t409.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t409.t2)
% 10.63/11.12  (assume t409.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t409.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t409.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))))
% 10.63/11.12  (assume t409.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t409.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (step t409.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t409.t2.a4))
% 10.63/11.12  (step t409.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t409.t2.t1))
% 10.63/11.12  (step t409.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t409.t2.a3))
% 10.63/11.12  (step t409.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t409.t2.t3))
% 10.63/11.12  (step t409.t2.t5 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t409.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 cong :premises (t409.t2.t4 t409.t2.t5))
% 10.63/11.12  (step t409.t2.t7 (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 (t409.t2.a2))
% 10.63/11.12  (step t409.t2.t8 (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 symm :premises (t409.t2.t7))
% 10.63/11.12  (step t409.t2.t9 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t409.t2.a0))
% 10.63/11.12  (step t409.t2.t10 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t409.t2.a1))
% 10.63/11.12  (step t409.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t409.t2.t9 t409.t2.t10))
% 10.63/11.12  (step t409.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t409.t2.t2 t409.t2.t6 t409.t2.t8 t409.t2.t11))
% 10.63/11.12  (step t409.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t409.t2.a0 t409.t2.a1 t409.t2.a2 t409.t2.a3 t409.t2.a4))
% 10.63/11.12  (step t409.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t409.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t409.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.12  (step t409.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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)
% 10.63/11.12  (step t409.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t409.t8 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t409.t2 t409.t3 t409.t4 t409.t5 t409.t6 t409.t7))
% 10.63/11.12  (step t409.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule reordering :premises (t409.t8))
% 10.63/11.12  (step t409.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule contraction :premises (t409.t9))
% 10.63/11.12  (step t409.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t409.t1 t409.t10))
% 10.63/11.12  (step t409.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.12  (step t409.t13 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t409.t11 t409.t12))
% 10.63/11.12  (step t409.t14 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t409.t13))
% 10.63/11.12  (step t409.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule implies :premises (t409.t14))
% 10.63/11.12  (step t409.t16 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 10.63/11.12  (step t409.t17 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t409.t16 t409.a1 t409.a0 t409.a4 t409.a3 t409.a2))
% 10.63/11.12  (step t409.t18 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t409.t15 t409.t17))
% 10.63/11.12  (step t409 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse 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)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t409.a0 t409.a1 t409.a2 t409.a3 t409.a4))
% 10.63/11.12  (step t410 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7))) :rule and_pos)
% 10.63/11.12  (step t411 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c2))) :rule and_pos)
% 10.63/11.12  (step t412 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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)
% 10.63/11.12  (step t413 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)
% 10.63/11.12  (step t414 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)
% 10.63/11.12  (step t415 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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 (t409 t410 t411 t412 t413 t414))
% 10.63/11.12  (step t416 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse 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_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) :rule reordering :premises (t415))
% 10.63/11.12  (step t417 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) :rule contraction :premises (t416))
% 10.63/11.12  (step t418 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t408 t417))
% 10.63/11.12  (step t419 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.12  (step t420 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6)))) :rule resolution :premises (t418 t419))
% 10.63/11.12  (step t421 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6)))) :rule contraction :premises (t420))
% 10.63/11.12  (step t422 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c6))) :rule implies :premises (t421))
% 10.63/11.12  (step t423 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse 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)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t407 t422))
% 10.63/11.12  (step t424 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule and_neg)
% 10.63/11.12  (step t425 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t426)
% 10.63/11.12  (assume t426.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t426.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t426.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t426.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t426.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t426.a5 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t426.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t426.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t426.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (step t426.t1 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t426.t2)
% 10.63/11.12  (assume t426.t2.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t426.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t426.t2.a2 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t426.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t426.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t426.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t426.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t426.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (assume t426.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (step t426.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t426.t2.a8))
% 10.63/11.12  (step t426.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t426.t2.t1))
% 10.63/11.12  (step t426.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t426.t2.a0))
% 10.63/11.12  (step t426.t2.t4 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t426.t2.t3))
% 10.63/11.12  (step t426.t2.t5 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t426.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t426.t2.t4 t426.t2.t5))
% 10.63/11.12  (step t426.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t426.t2.t6))
% 10.63/11.12  (step t426.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t426.t2.t9 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t426.t2.t8 t426.t2.t2))
% 10.63/11.12  (step t426.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t426.t2.a7))
% 10.63/11.12  (step t426.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t426.t2.a6))
% 10.63/11.12  (step t426.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t426.t2.t11))
% 10.63/11.12  (step t426.t2.t13 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t426.t2.a5))
% 10.63/11.12  (step t426.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.12  (step t426.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t426.t2.t13 t426.t2.t14))
% 10.63/11.12  (step t426.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule trans :premises (t426.t2.t12 t426.t2.t15))
% 10.63/11.12  (step t426.t2.t17 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t426.t2.t8 t426.t2.t16))
% 10.63/11.12  (step t426.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t426.t2.a4))
% 10.63/11.12  (step t426.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t426.t2.a3))
% 10.63/11.12  (step t426.t2.t20 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t426.t2.t6 t426.t2.t19))
% 10.63/11.12  (step t426.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t426.t2.t20 t426.t2.t14))
% 10.63/11.12  (step t426.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t426.t2.a2))
% 10.63/11.12  (step t426.t2.t23 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c2)) :rule trans :premises (t426.t2.t17 t426.t2.t18 t426.t2.t21 t426.t2.t22))
% 10.63/11.12  (step t426.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t426.t2.t23 t426.t2.t5))
% 10.63/11.12  (step t426.t2.t25 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t426.t2.a1))
% 10.63/11.12  (step t426.t2.t26 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t426.t2.a3 t426.t2.t7 t426.t2.t9 t426.t2.t10 t426.t2.t24 t426.t2.t25))
% 10.63/11.12  (step t426.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t426.t2.t26 t426.t2.t5))
% 10.63/11.12  (step t426.t2.t28 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule trans :premises (t426.t2.t2 t426.t2.t27 t426.t2.t9 t426.t2.t10 t426.t2.t24 t426.t2.t25 t426.t2.t4))
% 10.63/11.12  (step t426.t2 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t426.t2.a0 t426.t2.a1 t426.t2.a2 t426.t2.a3 t426.t2.a4 t426.t2.a5 t426.t2.a6 t426.t2.a7 t426.t2.a8))
% 10.63/11.12  (step t426.t3 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t426.t4 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t426.t5 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t426.t6 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t426.t7 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t426.t8 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t426.t9 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity 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)
% 10.63/11.12  (step t426.t10 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t426.t11 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity 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)
% 10.63/11.12  (step t426.t12 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t426.t2 t426.t3 t426.t4 t426.t5 t426.t6 t426.t7 t426.t8 t426.t9 t426.t10 t426.t11))
% 10.63/11.12  (step t426.t13 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t426.t12))
% 10.63/11.12  (step t426.t14 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t426.t13))
% 10.63/11.12  (step t426.t15 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t426.t1 t426.t14))
% 10.63/11.12  (step t426.t16 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.12  (step t426.t17 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t426.t15 t426.t16))
% 10.63/11.12  (step t426.t18 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t426.t17))
% 10.63/11.12  (step t426.t19 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t426.t18))
% 10.63/11.12  (step t426.t20 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 10.63/11.12  (step t426.t21 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t426.t20 t426.a0 t426.a1 t426.a5 t426.a4 t426.a7 t426.a2 t426.a6 t426.a8 t426.a3))
% 10.63/11.12  (step t426.t22 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t426.t19 t426.t21))
% 10.63/11.12  (step t426 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t426.a0 t426.a1 t426.a2 t426.a3 t426.a4 t426.a5 t426.a6 t426.a7 t426.a8))
% 10.63/11.12  (step t427 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t428 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t429 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t430 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t431 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t432 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t433 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t434 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t435 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t436 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t426 t427 t428 t429 t430 t431 t432 t433 t434 t435))
% 10.63/11.12  (step t437 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t436))
% 10.63/11.12  (step t438 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t437))
% 10.63/11.12  (step t439 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t425 t438))
% 10.63/11.12  (step t440 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.12  (step t441 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t439 t440))
% 10.63/11.12  (step t442 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t441))
% 10.63/11.12  (step t443 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t442))
% 10.63/11.12  (step t444 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t424 t443))
% 10.63/11.12  (step t445 (cl (not (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))))) (not (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))))) :rule equiv_pos2)
% 10.63/11.12  (anchor :step t446 :args ((X2 $$unsorted) (:= X2 X2) (X1 $$unsorted) (:= X1 X1) (X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4)))
% 10.63/11.12  (step t446.t1 (cl (= X2 X2)) :rule refl)
% 10.63/11.12  (step t446.t2 (cl (= X1 X1)) :rule refl)
% 10.63/11.12  (step t446.t3 (cl (= X3 X3)) :rule refl)
% 10.63/11.12  (step t446.t4 (cl (= X4 X4)) :rule refl)
% 10.63/11.12  (step t446.t5 (cl (= (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t118))
% 10.63/11.12  (step t446.t6 (cl (= (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule cong :premises (t298))
% 10.63/11.12  (step t446.t7 (cl (= (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule cong :premises (t386))
% 10.63/11.12  (step t446.t8 (cl (= (= (tptp.inverse X2) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X2)))) :rule all_simplify)
% 10.63/11.12  (step t446.t9 (cl (= (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X2))))) :rule cong :premises (t446.t8))
% 10.63/11.12  (step t446.t10 (cl (= (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))) :rule all_simplify)
% 10.63/11.12  (step t446.t11 (cl (= (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) :rule cong :premises (t446.t10))
% 10.63/11.12  (step t446.t12 (cl (= (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.12  (step t446.t13 (cl (= (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))))) :rule cong :premises (t446.t12))
% 10.63/11.12  (step t446.t14 (cl (= (= (tptp.inverse X1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X1)))) :rule all_simplify)
% 10.63/11.12  (step t446.t15 (cl (= (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X1))))) :rule cong :premises (t446.t14))
% 10.63/11.12  (step t446.t16 (cl (= (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6)))) :rule all_simplify)
% 10.63/11.12  (step t446.t17 (cl (= (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))))) :rule cong :premises (t446.t16))
% 10.63/11.12  (step t446.t18 (cl (= (= (tptp.inverse X3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X3)))) :rule all_simplify)
% 10.63/11.12  (step t446.t19 (cl (= (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X3))))) :rule cong :premises (t446.t18))
% 10.63/11.12  (step t446.t20 (cl (= (= (tptp.inverse X4) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse X4)))) :rule all_simplify)
% 10.63/11.12  (step t446.t21 (cl (= (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.inverse X4))))) :rule cong :premises (t446.t20))
% 10.63/11.12  (step t446.t22 (cl (= (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))) :rule all_simplify)
% 10.63/11.12  (step t446.t23 (cl (= (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) :rule cong :premises (t446.t22))
% 10.63/11.12  (step t446.t24 (cl (= (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) :rule cong :premises (t446.t5 t446.t6 t446.t7 t446.t9 t446.t11 t446.t13 t446.t15 t446.t17 t446.t19 t446.t21 t446.t23))
% 10.63/11.12  (step t446 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5)))) (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))))) :rule bind)
% 10.63/11.12  (step t447 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))))) :rule all_simplify)
% 10.63/11.12  (step t448 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))))) :rule trans :premises (t446 t447))
% 10.63/11.12  (step t449 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))))) :rule resolution :premises (t445 t448 a33))
% 10.63/11.12  (step t450 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) :rule or :premises (t449))
% 10.63/11.12  (step t451 (cl (not (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))))) (not (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule equiv_pos2)
% 10.63/11.12  (step t452 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))))) :rule refl)
% 10.63/11.12  (step t453 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule all_simplify)
% 10.63/11.12  (step t454 (cl (= (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule cong :premises (t453))
% 10.63/11.12  (step t455 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule refl)
% 10.63/11.12  (step t456 (cl (= (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule cong :premises (t454 t455))
% 10.63/11.12  (step t457 (cl (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))))) :rule cong :premises (t452 t456))
% 10.63/11.12  (step t458 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t459)
% 10.63/11.12  (assume t459.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))))
% 10.63/11.12  (step t459.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule forall_inst :args ((:= X4 tptp.sk_c7)))
% 10.63/11.12  (step t459.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule or :premises (t459.t1))
% 10.63/11.12  (step t459.t3 (cl (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t459.t2 t459.a0))
% 10.63/11.12  (step t459 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule subproof :discharge (t459.a0))
% 10.63/11.12  (step t460 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t458 t459))
% 10.63/11.12  (step t461 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule implies_neg2)
% 10.63/11.12  (step t462 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t460 t461))
% 10.63/11.12  (step t463 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule contraction :premises (t462))
% 10.63/11.12  (step t464 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7))))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t451 t457 t463))
% 10.63/11.12  (step t465 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies :premises (t464))
% 10.63/11.12  (step t466 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t467)
% 10.63/11.12  (assume t467.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 10.63/11.12  (step t467.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X3 tptp.identity)))
% 10.63/11.12  (step t467.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule or :premises (t467.t1))
% 10.63/11.12  (step t467.t3 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t467.t2 t467.a0))
% 10.63/11.12  (step t467 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t467.a0))
% 10.63/11.12  (step t468 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t466 t467))
% 10.63/11.12  (step t469 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 10.63/11.12  (step t470 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t468 t469))
% 10.63/11.12  (step t471 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t470))
% 10.63/11.12  (step t472 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule implies :premises (t471))
% 10.63/11.12  (step t473 (cl (not (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or_pos)
% 10.63/11.12  (step t474 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (or (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule reordering :premises (t473))
% 10.63/11.12  (step t475 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule or_pos)
% 10.63/11.12  (step t476 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t475))
% 10.63/11.12  (step t477 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t478)
% 10.63/11.12  (assume t478.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t478.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t478.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t478.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (assume t478.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t478.a5 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t478.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t478.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t478.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (step t478.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 10.63/11.12  (anchor :step t478.t2)
% 10.63/11.12  (assume t478.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.12  (assume t478.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.12  (assume t478.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.12  (assume t478.t2.a3 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.12  (assume t478.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.12  (assume t478.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.12  (assume t478.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.12  (assume t478.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.12  (assume t478.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.12  (step t478.t2.t1 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t478.t2.a1))
% 10.63/11.12  (step t478.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t478.t2.t1))
% 10.63/11.12  (step t478.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t478.t2.a8))
% 10.63/11.12  (step t478.t2.t4 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t478.t2.t3))
% 10.63/11.12  (step t478.t2.t5 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.12  (step t478.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t478.t2.t2 t478.t2.t5))
% 10.63/11.12  (step t478.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t478.t2.t6))
% 10.63/11.12  (step t478.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.12  (step t478.t2.t9 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t478.t2.t8 t478.t2.t4))
% 10.63/11.12  (step t478.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t478.t2.a7))
% 10.63/11.12  (step t478.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t478.t2.a6))
% 10.63/11.12  (step t478.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t478.t2.t11))
% 10.63/11.12  (step t478.t2.t13 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t478.t2.a5))
% 10.63/11.12  (step t478.t2.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.12  (step t478.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t478.t2.t13 t478.t2.t14))
% 10.63/11.12  (step t478.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule trans :premises (t478.t2.t12 t478.t2.t15))
% 10.63/11.12  (step t478.t2.t17 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t478.t2.t8 t478.t2.t16))
% 10.63/11.12  (step t478.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t478.t2.a4))
% 10.63/11.12  (step t478.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t478.t2.a0))
% 10.63/11.12  (step t478.t2.t20 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t478.t2.t6 t478.t2.t19))
% 10.63/11.12  (step t478.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t478.t2.t20 t478.t2.t14))
% 10.63/11.12  (step t478.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t478.t2.a3))
% 10.63/11.12  (step t478.t2.t23 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c2)) :rule trans :premises (t478.t2.t17 t478.t2.t18 t478.t2.t21 t478.t2.t22))
% 10.63/11.12  (step t478.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t478.t2.t23 t478.t2.t5))
% 10.63/11.12  (step t478.t2.t25 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t478.t2.a2))
% 10.63/11.12  (step t478.t2.t26 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t478.t2.a0 t478.t2.t7 t478.t2.t9 t478.t2.t10 t478.t2.t24 t478.t2.t25))
% 10.63/11.12  (step t478.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t478.t2.t26 t478.t2.t5))
% 10.63/11.12  (step t478.t2.t28 (cl (= tptp.sk_c7 tptp.identity)) :rule trans :premises (t478.t2.t4 t478.t2.t27 t478.t2.t6 t478.t2.t19))
% 10.63/11.12  (step t478.t2.t29 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.identity))) :rule cong :premises (t478.t2.t28))
% 10.63/11.12  (step t478.t2.t30 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule trans :premises (t478.t2.t2 t478.t2.t29))
% 10.63/11.12  (step t478.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t478.t2.a0 t478.t2.a1 t478.t2.a2 t478.t2.a3 t478.t2.a4 t478.t2.a5 t478.t2.a6 t478.t2.a7 t478.t2.a8))
% 10.63/11.12  (step t478.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t478.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t478.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.12  (step t478.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t478.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.12  (step t478.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.12  (step t478.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity 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)
% 10.63/11.12  (step t478.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.12  (step t478.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity 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)
% 10.63/11.12  (step t478.t12 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t478.t2 t478.t3 t478.t4 t478.t5 t478.t6 t478.t7 t478.t8 t478.t9 t478.t10 t478.t11))
% 10.63/11.12  (step t478.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t478.t12))
% 10.63/11.12  (step t478.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t478.t13))
% 10.63/11.13  (step t478.t15 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t478.t1 t478.t14))
% 10.63/11.13  (step t478.t16 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.63/11.13  (step t478.t17 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t478.t15 t478.t16))
% 10.63/11.13  (step t478.t18 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t478.t17))
% 10.63/11.13  (step t478.t19 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t478.t18))
% 10.63/11.13  (step t478.t20 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 10.63/11.13  (step t478.t21 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t478.t20 t478.a4 t478.a0 t478.a1 t478.a5 t478.a7 t478.a2 t478.a6 t478.a8 t478.a3))
% 10.63/11.13  (step t478.t22 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t478.t19 t478.t21))
% 10.63/11.13  (step t478 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t478.a0 t478.a1 t478.a2 t478.a3 t478.a4 t478.a5 t478.a6 t478.a7 t478.a8))
% 10.63/11.13  (step t479 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t480 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t481 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t482 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t483 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t484 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t485 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t486 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t487 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t488 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t478 t479 t480 t481 t482 t483 t484 t485 t486 t487))
% 10.63/11.13  (step t489 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t488))
% 10.63/11.13  (step t490 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t489))
% 10.63/11.13  (step t491 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t477 t490))
% 10.63/11.13  (step t492 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 10.63/11.13  (step t493 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t491 t492))
% 10.63/11.13  (step t494 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t493))
% 10.63/11.13  (step t495 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t494))
% 10.63/11.13  (step t496 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t424 t495))
% 10.63/11.13  (step t497 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t496))
% 10.63/11.13  (step t498 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule and_neg)
% 10.63/11.13  (step t499 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t500)
% 10.63/11.13  (assume t500.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t500.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t500.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t500.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t500.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t500.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t500.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t500.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t500.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t500.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t500.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t500.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t500.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t500.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.13  (assume t500.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))))
% 10.63/11.13  (assume t500.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t500.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (step t500.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t500.t2)
% 10.63/11.13  (assume t500.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t500.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t500.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t500.t2.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t500.t2.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t500.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t500.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t500.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t500.t2.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t500.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t500.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.13  (assume t500.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t500.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 10.63/11.13  (assume t500.t2.a13 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t500.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t500.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t500.t2.a16 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (step t500.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t500.t2.a16))
% 10.63/11.13  (step t500.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t500.t2.t1))
% 10.63/11.13  (step t500.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t500.t2.a3))
% 10.63/11.13  (step t500.t2.t4 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t500.t2.t3))
% 10.63/11.13  (step t500.t2.t5 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t500.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t500.t2.t4 t500.t2.t5))
% 10.63/11.13  (step t500.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t500.t2.t6))
% 10.63/11.13  (step t500.t2.t8 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t500.t2.a2 t500.t2.t7))
% 10.63/11.13  (step t500.t2.t9 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t500.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t500.t2.t8 t500.t2.t9))
% 10.63/11.13  (step t500.t2.t11 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t500.t2.a15))
% 10.63/11.13  (step t500.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule symm :premises (t500.t2.t11))
% 10.63/11.13  (step t500.t2.t13 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t500.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t500.t2.a14))
% 10.63/11.13  (step t500.t2.t15 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t500.t2.t13 t500.t2.t14))
% 10.63/11.13  (step t500.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t500.t2.a11))
% 10.63/11.13  (step t500.t2.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t500.t2.t16))
% 10.63/11.13  (step t500.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t500.t2.t17 t500.t2.t13))
% 10.63/11.13  (step t500.t2.t19 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t500.t2.a9))
% 10.63/11.13  (step t500.t2.t20 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t500.t2.t19))
% 10.63/11.13  (step t500.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t500.t2.a8))
% 10.63/11.13  (step t500.t2.t22 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t500.t2.t21))
% 10.63/11.13  (step t500.t2.t23 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.13  (step t500.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule cong :premises (t500.t2.t8 t500.t2.t23))
% 10.63/11.13  (step t500.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t500.t2.a7))
% 10.63/11.13  (step t500.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule symm :premises (t500.t2.t25))
% 10.63/11.13  (step t500.t2.t27 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t500.t2.a6))
% 10.63/11.13  (step t500.t2.t28 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t500.t2.t27))
% 10.63/11.13  (step t500.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t500.t2.t28 t500.t2.t23))
% 10.63/11.13  (step t500.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t500.t2.a5))
% 10.63/11.13  (step t500.t2.t31 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t500.t2.t30))
% 10.63/11.13  (step t500.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t500.t2.t31))
% 10.63/11.13  (step t500.t2.t33 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) tptp.identity)) :rule trans :premises (t500.t2.t29 t500.t2.t32))
% 10.63/11.13  (step t500.t2.t34 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule cong :premises (t500.t2.t13 t500.t2.t33))
% 10.63/11.13  (step t500.t2.t35 (cl (= tptp.sk_c2 (tptp.multiply tptp.sk_c6 tptp.identity))) :rule trans :premises (t500.t2.t22 t500.t2.t24 t500.t2.t26 t500.t2.t34))
% 10.63/11.13  (step t500.t2.t36 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule cong :premises (t500.t2.t35 t500.t2.t5))
% 10.63/11.13  (step t500.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t500.t2.a4))
% 10.63/11.13  (step t500.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t500.t2.t37))
% 10.63/11.13  (step t500.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t500.t2.a0))
% 10.63/11.13  (step t500.t2.t40 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t500.t2.t39))
% 10.63/11.13  (step t500.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t500.t2.t40))
% 10.63/11.13  (step t500.t2.t42 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t500.t2.t13 t500.t2.t41))
% 10.63/11.13  (step t500.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t500.t2.a2))
% 10.63/11.13  (step t500.t2.t44 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t500.t2.t20 t500.t2.t36 t500.t2.t38 t500.t2.t42 t500.t2.t6 t500.t2.t43))
% 10.63/11.13  (step t500.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule cong :premises (t500.t2.t16 t500.t2.t44))
% 10.63/11.13  (step t500.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule symm :premises (t500.t2.t34))
% 10.63/11.13  (step t500.t2.t47 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t500.t2.t44 t500.t2.t33))
% 10.63/11.13  (step t500.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t500.t2.a13))
% 10.63/11.13  (step t500.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t500.t2.t44 t500.t2.t5))
% 10.63/11.13  (step t500.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule cong :premises (t500.t2.t31 t500.t2.t5))
% 10.63/11.13  (step t500.t2.t51 (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 (t500.t2.a12))
% 10.63/11.13  (step t500.t2.t52 (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 symm :premises (t500.t2.t51))
% 10.63/11.13  (step t500.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t500.t2.t27 t500.t2.t19))
% 10.63/11.13  (step t500.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t500.t2.t5 t500.t2.t17))
% 10.63/11.13  (step t500.t2.t55 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6))) :rule symm :premises (t500.t2.a10))
% 10.63/11.13  (step t500.t2.t56 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule refl)
% 10.63/11.13  (step t500.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity))) :rule cong :premises (t500.t2.t56 t500.t2.t44))
% 10.63/11.13  (step t500.t2.t58 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t500.t2.a2 t500.t2.t7 t500.t2.t49 t500.t2.t41))
% 10.63/11.13  (step t500.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7))) :rule cong :premises (t500.t2.t56 t500.t2.t58))
% 10.63/11.13  (step t500.t2.t60 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7))) :rule symm :premises (t500.t2.a1))
% 10.63/11.13  (step t500.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t500.t2.t60))
% 10.63/11.13  (step t500.t2.t62 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t500.t2.t5 t500.t2.t41))
% 10.63/11.13  (step t500.t2.t63 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t500.t2.t2 t500.t2.t10 t500.t2.t12 t500.t2.t15 t500.t2.t18 t500.t2.t45 t500.t2.t46 t500.t2.t47 t500.t2.t48 t500.t2.a2 t500.t2.t7 t500.t2.t49 t500.t2.t50 t500.t2.t52 t500.t2.t53 t500.t2.t54 t500.t2.t55 t500.t2.t57 t500.t2.t59 t500.t2.t61 t500.t2.t62))
% 10.63/11.13  (step t500.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply 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_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule subproof :discharge (t500.t2.a0 t500.t2.a1 t500.t2.a2 t500.t2.a3 t500.t2.a4 t500.t2.a5 t500.t2.a6 t500.t2.a7 t500.t2.a8 t500.t2.a9 t500.t2.a10 t500.t2.a11 t500.t2.a12 t500.t2.a13 t500.t2.a14 t500.t2.a15 t500.t2.a16))
% 10.63/11.13  (step t500.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t500.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t500.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t500.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t500.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t500.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t500.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t500.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t500.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t500.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t500.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t500.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t500.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity 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)
% 10.63/11.13  (step t500.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t500.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t500.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t500.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t500.t20 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t500.t2 t500.t3 t500.t4 t500.t5 t500.t6 t500.t7 t500.t8 t500.t9 t500.t10 t500.t11 t500.t12 t500.t13 t500.t14 t500.t15 t500.t16 t500.t17 t500.t18 t500.t19))
% 10.63/11.13  (step t500.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t500.t20))
% 10.63/11.13  (step t500.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t500.t21))
% 10.63/11.13  (step t500.t23 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t500.t1 t500.t22))
% 10.63/11.13  (step t500.t24 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.13  (step t500.t25 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t500.t23 t500.t24))
% 10.63/11.13  (step t500.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t500.t25))
% 10.63/11.13  (step t500.t27 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t500.t26))
% 10.63/11.13  (step t500.t28 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply 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_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.63/11.13  (step t500.t29 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t500.t28 t500.a5 t500.a10 t500.a7 t500.a0 t500.a16 t500.a9 t500.a2 t500.a15 t500.a8 t500.a1 t500.a13 t500.a6 t500.a14 t500.a4 t500.a3 t500.a12 t500.a11))
% 10.63/11.13  (step t500.t30 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t500.t27 t500.t29))
% 10.63/11.13  (step t500 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule subproof :discharge (t500.a0 t500.a1 t500.a2 t500.a3 t500.a4 t500.a5 t500.a6 t500.a7 t500.a8 t500.a9 t500.a10 t500.a11 t500.a12 t500.a13 t500.a14 t500.a15 t500.a16))
% 10.63/11.13  (step t501 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t502 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t503 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t504 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t505 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t506 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t507 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t508 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t509 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t510 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t511 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t512 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t513 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t514 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t515 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 10.63/11.13  (step t516 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t517 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t518 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t500 t501 t502 t503 t504 t505 t506 t507 t508 t509 t510 t511 t512 t513 t514 t515 t516 t517))
% 10.63/11.13  (step t519 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t518))
% 10.63/11.13  (step t520 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t519))
% 10.63/11.13  (step t521 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t499 t520))
% 10.63/11.13  (step t522 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.13  (step t523 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t521 t522))
% 10.63/11.13  (step t524 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t523))
% 10.63/11.13  (step t525 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t524))
% 10.63/11.13  (step t526 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t498 t525))
% 10.63/11.13  (step t527 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 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.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t526))
% 10.63/11.13  (step t528 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t529)
% 10.63/11.13  (assume t529.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t529.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c5)))
% 10.63/11.13  (step t529.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule or :premises (t529.t1))
% 10.63/11.13  (step t529.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t529.t2 t529.a0))
% 10.63/11.13  (step t529 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule subproof :discharge (t529.a0))
% 10.63/11.13  (step t530 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t528 t529))
% 10.63/11.13  (step t531 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg2)
% 10.63/11.13  (step t532 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (=> (forall ((X $$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_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule resolution :premises (t530 t531))
% 10.63/11.13  (step t533 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule contraction :premises (t532))
% 10.63/11.13  (step t534 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies :premises (t533))
% 10.63/11.13  (step t535 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t534 a2))
% 10.63/11.13  (step t536 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t537)
% 10.63/11.13  (assume t537.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t537.t1 (cl (or (not (forall ((X $$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.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.identity) (:= Z tptp.sk_c7)))
% 10.63/11.13  (step t537.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule or :premises (t537.t1))
% 10.63/11.13  (step t537.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t537.t2 t537.a0))
% 10.63/11.13  (step t537 (cl (not (forall ((X $$unsorted) (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.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule subproof :discharge (t537.a0))
% 10.63/11.13  (step t538 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t536 t537))
% 10.63/11.13  (step t539 (cl (=> (forall ((X $$unsorted) (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.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.13  (step t540 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (=> (forall ((X $$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.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t538 t539))
% 10.63/11.13  (step t541 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule contraction :premises (t540))
% 10.63/11.13  (step t542 (cl (not (forall ((X $$unsorted) (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.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies :premises (t541))
% 10.63/11.13  (step t543 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t542 a2))
% 10.63/11.13  (step t544 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule and_neg)
% 10.63/11.13  (step t545 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t546)
% 10.63/11.13  (assume t546.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t546.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t546.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t546.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t546.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t546.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t546.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t546.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t546.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t546.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t546.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t546.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t546.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t546.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (step t546.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t546.t2)
% 10.63/11.13  (assume t546.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t546.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t546.t2.a2 (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))
% 10.63/11.13  (step t546.t2.t1 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t546.t2.a2))
% 10.63/11.13  (step t546.t2.t2 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t546.t2.a1))
% 10.63/11.13  (step t546.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t546.t2.a0))
% 10.63/11.13  (step t546.t2.t4 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t546.t2.t3))
% 10.63/11.13  (step t546.t2.t5 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t546.t2.t1 t546.t2.t2 t546.t2.t4))
% 10.63/11.13  (step t546.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t546.t2.a0 t546.t2.a1 t546.t2.a2))
% 10.63/11.13  (step t546.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t546.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t546.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule and_pos)
% 10.63/11.13  (step t546.t6 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t546.t2 t546.t3 t546.t4 t546.t5))
% 10.63/11.13  (step t546.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t546.t6))
% 10.63/11.13  (step t546.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t546.t7))
% 10.63/11.13  (step t546.t9 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t546.t1 t546.t8))
% 10.63/11.13  (step t546.t10 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.13  (step t546.t11 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t546.t9 t546.t10))
% 10.63/11.13  (step t546.t12 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t546.t11))
% 10.63/11.13  (step t546.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t546.t12))
% 10.63/11.13  (step t546.t14 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule and_neg)
% 10.63/11.13  (step t546.t15 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t546.t16)
% 10.63/11.13  (assume t546.t16.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t546.t16.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t546.t16.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t546.t16.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t546.t16.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t546.t16.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t546.t16.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t546.t16.a7 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t546.t16.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t546.t16.a9 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t546.t16.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t546.t16.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t546.t16.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t546.t16.a13 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (step t546.t16.t1 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t546.t16.a2))
% 10.63/11.13  (step t546.t16.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t546.t16.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t546.t16.a10))
% 10.63/11.13  (step t546.t16.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t546.t16.t3))
% 10.63/11.13  (step t546.t16.t5 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t546.t16.a9))
% 10.63/11.13  (step t546.t16.t6 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.13  (step t546.t16.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t546.t16.t5 t546.t16.t6))
% 10.63/11.13  (step t546.t16.t8 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule trans :premises (t546.t16.t4 t546.t16.t7))
% 10.63/11.13  (step t546.t16.t9 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t546.t16.t2 t546.t16.t8))
% 10.63/11.13  (step t546.t16.t10 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t546.t16.a8))
% 10.63/11.13  (step t546.t16.t11 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t546.t16.t1))
% 10.63/11.13  (step t546.t16.t12 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t546.t16.t13 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t546.t16.t11 t546.t16.t12))
% 10.63/11.13  (step t546.t16.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t546.t16.a1))
% 10.63/11.13  (step t546.t16.t15 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t546.t16.t13 t546.t16.t14))
% 10.63/11.13  (step t546.t16.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t546.t16.t15 t546.t16.t6))
% 10.63/11.13  (step t546.t16.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t546.t16.a7))
% 10.63/11.13  (step t546.t16.t18 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c2)) :rule trans :premises (t546.t16.t9 t546.t16.t10 t546.t16.t16 t546.t16.t17))
% 10.63/11.13  (step t546.t16.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t546.t16.t18 t546.t16.t12))
% 10.63/11.13  (step t546.t16.t20 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t546.t16.t19))
% 10.63/11.13  (step t546.t16.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t546.t16.a12))
% 10.63/11.13  (step t546.t16.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t546.t16.t21))
% 10.63/11.13  (step t546.t16.t23 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t546.t16.t2 t546.t16.t22))
% 10.63/11.13  (step t546.t16.t24 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t546.t16.t23))
% 10.63/11.13  (step t546.t16.t25 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t546.t16.a13))
% 10.63/11.13  (step t546.t16.t26 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t546.t16.t25))
% 10.63/11.13  (step t546.t16.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t546.t16.t13))
% 10.63/11.13  (step t546.t16.t28 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t546.t16.a11))
% 10.63/11.13  (step t546.t16.t29 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t546.t16.a6))
% 10.63/11.13  (step t546.t16.t30 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t546.t16.a1 t546.t16.t27 t546.t16.t23 t546.t16.t28 t546.t16.t19 t546.t16.t29))
% 10.63/11.13  (step t546.t16.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t546.t16.t30 t546.t16.t8))
% 10.63/11.13  (step t546.t16.t32 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule symm :premises (t546.t16.t9))
% 10.63/11.13  (step t546.t16.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t546.t16.a5))
% 10.63/11.13  (step t546.t16.t34 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t546.t16.t33))
% 10.63/11.13  (step t546.t16.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t546.t16.t34 t546.t16.t30))
% 10.63/11.13  (step t546.t16.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t546.t16.t34))
% 10.63/11.13  (step t546.t16.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t546.t16.t36 t546.t16.t2))
% 10.63/11.13  (step t546.t16.t38 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t546.t16.a4))
% 10.63/11.13  (step t546.t16.t39 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t546.t16.t38))
% 10.63/11.13  (step t546.t16.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t546.t16.t2 t546.t16.t39))
% 10.63/11.13  (step t546.t16.t41 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t546.t16.a3))
% 10.63/11.13  (step t546.t16.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule symm :premises (t546.t16.t41))
% 10.63/11.13  (step t546.t16.t43 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t546.t16.t42))
% 10.63/11.13  (step t546.t16.t44 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t546.t16.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t546.t16.t15 t546.t16.t44))
% 10.63/11.13  (step t546.t16.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t546.t16.a0))
% 10.63/11.13  (step t546.t16.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t546.t16.t46))
% 10.63/11.13  (step t546.t16.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t546.t16.t47))
% 10.63/11.13  (step t546.t16.t49 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t546.t16.t1 t546.t16.a6 t546.t16.t20 t546.t16.a11 t546.t16.t24 t546.t16.t13 t546.t16.t14 t546.t16.t26 t546.t16.t31 t546.t16.t32 t546.t16.t35 t546.t16.t37 t546.t16.t40 t546.t16.t43 t546.t16.t45 t546.t16.t48))
% 10.63/11.13  (step t546.t16 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule subproof :discharge (t546.t16.a0 t546.t16.a1 t546.t16.a2 t546.t16.a3 t546.t16.a4 t546.t16.a5 t546.t16.a6 t546.t16.a7 t546.t16.a8 t546.t16.a9 t546.t16.a10 t546.t16.a11 t546.t16.a12 t546.t16.a13))
% 10.63/11.13  (step t546.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t546.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t546.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t546.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t546.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t546.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t546.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t546.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t546.t25 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t546.t26 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t546.t27 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t546.t28 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t546.t29 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t546.t30 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t546.t31 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t546.t16 t546.t17 t546.t18 t546.t19 t546.t20 t546.t21 t546.t22 t546.t23 t546.t24 t546.t25 t546.t26 t546.t27 t546.t28 t546.t29 t546.t30))
% 10.63/11.13  (step t546.t32 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule reordering :premises (t546.t31))
% 10.63/11.13  (step t546.t33 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule contraction :premises (t546.t32))
% 10.63/11.13  (step t546.t34 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t546.t15 t546.t33))
% 10.63/11.13  (step t546.t35 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg2)
% 10.63/11.13  (step t546.t36 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t546.t34 t546.t35))
% 10.63/11.13  (step t546.t37 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t546.t36))
% 10.63/11.13  (step t546.t38 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule implies :premises (t546.t37))
% 10.63/11.13  (step t546.t39 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 10.63/11.13  (step t546.t40 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t546.t39 t546.a10 t546.a7 t546.a0 t546.a11 t546.a3 t546.a6 t546.a1 t546.a8 t546.a12 t546.a2 t546.a9 t546.a13 t546.a5 t546.a4))
% 10.63/11.13  (step t546.t41 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t546.t38 t546.t40))
% 10.63/11.13  (step t546.t42 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t546.t14 t546.a6 t546.a0 t546.t41))
% 10.63/11.13  (step t546.t43 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t546.t13 t546.t42))
% 10.63/11.13  (step t546 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t546.a0 t546.a1 t546.a2 t546.a3 t546.a4 t546.a5 t546.a6 t546.a7 t546.a8 t546.a9 t546.a10 t546.a11 t546.a12 t546.a13))
% 10.63/11.13  (step t547 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t548 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t549 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t550 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t551 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t552 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t553 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t554 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t555 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t556 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t557 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t558 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t559 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t560 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t561 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t546 t547 t548 t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559 t560))
% 10.63/11.13  (step t562 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t561))
% 10.63/11.13  (step t563 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t562))
% 10.63/11.13  (step t564 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t545 t563))
% 10.63/11.13  (step t565 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.13  (step t566 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t564 t565))
% 10.63/11.13  (step t567 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t566))
% 10.63/11.13  (step t568 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t567))
% 10.63/11.13  (step t569 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t544 t568))
% 10.63/11.13  (step t570 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t569))
% 10.63/11.13  (step t571 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t572)
% 10.63/11.13  (assume t572.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t572.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t572.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t572.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t572.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t572.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t572.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t572.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t572.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t572.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t572.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t572.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t572.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t572.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (step t572.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t572.t2)
% 10.63/11.13  (assume t572.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t572.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t572.t2.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t572.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 10.63/11.13  (assume t572.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t572.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t572.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t572.t2.a7 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t572.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t572.t2.a9 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t572.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t572.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t572.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t572.t2.a13 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (step t572.t2.t1 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t572.t2.a2))
% 10.63/11.13  (step t572.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t572.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t572.t2.a10))
% 10.63/11.13  (step t572.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t572.t2.t3))
% 10.63/11.13  (step t572.t2.t5 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t572.t2.a9))
% 10.63/11.13  (step t572.t2.t6 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.13  (step t572.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t572.t2.t5 t572.t2.t6))
% 10.63/11.13  (step t572.t2.t8 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule trans :premises (t572.t2.t4 t572.t2.t7))
% 10.63/11.13  (step t572.t2.t9 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t572.t2.t2 t572.t2.t8))
% 10.63/11.13  (step t572.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t572.t2.a8))
% 10.63/11.13  (step t572.t2.t11 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t572.t2.t1))
% 10.63/11.13  (step t572.t2.t12 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t572.t2.t13 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t572.t2.t11 t572.t2.t12))
% 10.63/11.13  (step t572.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t572.t2.a1))
% 10.63/11.13  (step t572.t2.t15 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t572.t2.t13 t572.t2.t14))
% 10.63/11.13  (step t572.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t572.t2.t15 t572.t2.t6))
% 10.63/11.13  (step t572.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t572.t2.a7))
% 10.63/11.13  (step t572.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c2)) :rule trans :premises (t572.t2.t9 t572.t2.t10 t572.t2.t16 t572.t2.t17))
% 10.63/11.13  (step t572.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t572.t2.t18 t572.t2.t12))
% 10.63/11.13  (step t572.t2.t20 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t572.t2.t19))
% 10.63/11.13  (step t572.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t572.t2.a12))
% 10.63/11.13  (step t572.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t572.t2.t21))
% 10.63/11.13  (step t572.t2.t23 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t572.t2.t2 t572.t2.t22))
% 10.63/11.13  (step t572.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t572.t2.t23))
% 10.63/11.13  (step t572.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t572.t2.a13))
% 10.63/11.13  (step t572.t2.t26 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t572.t2.t25))
% 10.63/11.13  (step t572.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t572.t2.t13))
% 10.63/11.13  (step t572.t2.t28 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t572.t2.a11))
% 10.63/11.13  (step t572.t2.t29 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t572.t2.a6))
% 10.63/11.13  (step t572.t2.t30 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t572.t2.a1 t572.t2.t27 t572.t2.t23 t572.t2.t28 t572.t2.t19 t572.t2.t29))
% 10.63/11.13  (step t572.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t572.t2.t30 t572.t2.t8))
% 10.63/11.13  (step t572.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule symm :premises (t572.t2.t9))
% 10.63/11.13  (step t572.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t572.t2.a5))
% 10.63/11.13  (step t572.t2.t34 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t572.t2.t33))
% 10.63/11.13  (step t572.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t572.t2.t34 t572.t2.t30))
% 10.63/11.13  (step t572.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t572.t2.t34))
% 10.63/11.13  (step t572.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t572.t2.t36 t572.t2.t2))
% 10.63/11.13  (step t572.t2.t38 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t572.t2.a4))
% 10.63/11.13  (step t572.t2.t39 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t572.t2.t38))
% 10.63/11.13  (step t572.t2.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t572.t2.t2 t572.t2.t39))
% 10.63/11.13  (step t572.t2.t41 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t572.t2.a3))
% 10.63/11.13  (step t572.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule symm :premises (t572.t2.t41))
% 10.63/11.13  (step t572.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t572.t2.t42))
% 10.63/11.13  (step t572.t2.t44 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t572.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t572.t2.t15 t572.t2.t44))
% 10.63/11.13  (step t572.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t572.t2.a0))
% 10.63/11.13  (step t572.t2.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t572.t2.t46))
% 10.63/11.13  (step t572.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t572.t2.t47))
% 10.63/11.13  (step t572.t2.t49 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t572.t2.t1 t572.t2.a6 t572.t2.t20 t572.t2.a11 t572.t2.t24 t572.t2.t13 t572.t2.t14 t572.t2.t26 t572.t2.t31 t572.t2.t32 t572.t2.t35 t572.t2.t37 t572.t2.t40 t572.t2.t43 t572.t2.t45 t572.t2.t48))
% 10.63/11.13  (step t572.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule subproof :discharge (t572.t2.a0 t572.t2.a1 t572.t2.a2 t572.t2.a3 t572.t2.a4 t572.t2.a5 t572.t2.a6 t572.t2.a7 t572.t2.a8 t572.t2.a9 t572.t2.a10 t572.t2.a11 t572.t2.a12 t572.t2.a13))
% 10.63/11.13  (step t572.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t572.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t572.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t572.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t572.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t572.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t572.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t572.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t572.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t572.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t572.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t572.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t572.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t572.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t572.t17 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t572.t2 t572.t3 t572.t4 t572.t5 t572.t6 t572.t7 t572.t8 t572.t9 t572.t10 t572.t11 t572.t12 t572.t13 t572.t14 t572.t15 t572.t16))
% 10.63/11.13  (step t572.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule reordering :premises (t572.t17))
% 10.63/11.13  (step t572.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule contraction :premises (t572.t18))
% 10.63/11.13  (step t572.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t572.t1 t572.t19))
% 10.63/11.13  (step t572.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg2)
% 10.63/11.13  (step t572.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t572.t20 t572.t21))
% 10.63/11.13  (step t572.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t572.t22))
% 10.63/11.13  (step t572.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule implies :premises (t572.t23))
% 10.63/11.13  (step t572.t25 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 10.63/11.13  (step t572.t26 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t572.t25 t572.a10 t572.a7 t572.a0 t572.a11 t572.a3 t572.a6 t572.a1 t572.a8 t572.a12 t572.a2 t572.a9 t572.a13 t572.a5 t572.a4))
% 10.63/11.13  (step t572.t27 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t572.t24 t572.t26))
% 10.63/11.13  (step t572 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule subproof :discharge (t572.a0 t572.a1 t572.a2 t572.a3 t572.a4 t572.a5 t572.a6 t572.a7 t572.a8 t572.a9 t572.a10 t572.a11 t572.a12 t572.a13))
% 10.63/11.13  (step t573 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t574 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t575 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t576 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t577 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t578 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t579 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t580 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t581 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t582 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t583 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t584 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t585 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t586 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t587 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t572 t573 t574 t575 t576 t577 t578 t579 t580 t581 t582 t583 t584 t585 t586))
% 10.63/11.13  (step t588 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule reordering :premises (t587))
% 10.63/11.13  (step t589 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule contraction :premises (t588))
% 10.63/11.13  (step t590 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t571 t589))
% 10.63/11.13  (step t591 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg2)
% 10.63/11.13  (step t592 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t590 t591))
% 10.63/11.13  (step t593 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t592))
% 10.63/11.13  (step t594 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule implies :premises (t593))
% 10.63/11.13  (step t595 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t544 t594))
% 10.63/11.13  (step t596 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t595))
% 10.63/11.13  (step t597 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t598)
% 10.63/11.13  (assume t598.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))
% 10.63/11.13  (step t598.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X1 tptp.sk_c2)))
% 10.63/11.13  (step t598.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t598.t1))
% 10.63/11.13  (step t598.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t598.t2 t598.a0))
% 10.63/11.13  (step t598 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t598.a0))
% 10.63/11.13  (step t599 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t597 t598))
% 10.63/11.13  (step t600 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 10.63/11.13  (step t601 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t599 t600))
% 10.63/11.13  (step t602 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t601))
% 10.63/11.13  (step t603 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t602))
% 10.63/11.13  (step t604 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 10.63/11.13  (step t605 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t604))
% 10.63/11.13  (step t606 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t404 t406 t423 t360 t264 t296 t444 t218 t226 t264 t272 t280 t296 t450 t465 t472 t474 t476 t497 t218 t226 t264 t272 t280 t296 t527 t218 t226 t360 t368 t535 t256 t543 t264 t272 t280 t288 t296 t384 t570 t218 t226 t535 t256 t264 t272 t280 t288 t296 t384 t596 t218 t226 t535 t256 t264 t272 t280 t288 t296 t384 t603 t605))
% 10.63/11.13  (step t607 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t606))
% 10.63/11.13  (step t608 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 10.63/11.13  (step t609 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 10.63/11.13  (step t610 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t609 t311))
% 10.63/11.13  (step t611 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t608 t610 a22))
% 10.63/11.13  (step t612 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule or :premises (t611))
% 10.63/11.13  (step t613 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t612))
% 10.63/11.13  (step t614 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.13  (step t615 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t609 t317))
% 10.63/11.13  (step t616 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t614 t615 a21))
% 10.63/11.13  (step t617 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule or :premises (t616))
% 10.63/11.13  (step t618 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t617))
% 10.63/11.13  (step t619 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t607 t613 t618))
% 10.63/11.13  (step t620 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t619))
% 10.63/11.13  (step t621 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule and_neg)
% 10.63/11.13  (step t622 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t623)
% 10.63/11.13  (assume t623.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t623.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t623.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t623.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t623.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t623.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t623.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t623.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t623.a8 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t623.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t623.a10 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 10.63/11.13  (assume t623.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t623.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 10.63/11.13  (assume t623.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t623.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.13  (assume t623.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (step t623.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t623.t2)
% 10.63/11.13  (assume t623.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 10.63/11.13  (assume t623.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t623.t2.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t623.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 10.63/11.13  (assume t623.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t623.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t623.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))
% 10.63/11.13  (assume t623.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t623.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))
% 10.63/11.13  (assume t623.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.63/11.13  (assume t623.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))))
% 10.63/11.13  (assume t623.t2.a11 (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))
% 10.63/11.13  (assume t623.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.63/11.13  (assume t623.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t623.t2.a14 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t623.t2.a15 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (step t623.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t623.t2.a14))
% 10.63/11.13  (step t623.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t623.t2.t1))
% 10.63/11.13  (step t623.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t623.t2.a2))
% 10.63/11.13  (step t623.t2.t4 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t623.t2.t3))
% 10.63/11.13  (step t623.t2.t5 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t623.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t623.t2.t4 t623.t2.t5))
% 10.63/11.13  (step t623.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t623.t2.t6))
% 10.63/11.13  (step t623.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t623.t2.t9 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t623.t2.t8 t623.t2.t2))
% 10.63/11.13  (step t623.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7))) :rule symm :premises (t623.t2.a13))
% 10.63/11.13  (step t623.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t623.t2.a5))
% 10.63/11.13  (step t623.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t623.t2.t11))
% 10.63/11.13  (step t623.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t623.t2.a4))
% 10.63/11.13  (step t623.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.63/11.13  (step t623.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t623.t2.t13 t623.t2.t14))
% 10.63/11.13  (step t623.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t623.t2.t12 t623.t2.t15))
% 10.63/11.13  (step t623.t2.t17 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t623.t2.t8 t623.t2.t16))
% 10.63/11.13  (step t623.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1))) :rule symm :premises (t623.t2.a3))
% 10.63/11.13  (step t623.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t623.t2.a1))
% 10.63/11.13  (step t623.t2.t20 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t623.t2.t6 t623.t2.t19))
% 10.63/11.13  (step t623.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t623.t2.t20 t623.t2.t14))
% 10.63/11.13  (step t623.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t623.t2.a0))
% 10.63/11.13  (step t623.t2.t23 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c1)) :rule trans :premises (t623.t2.t17 t623.t2.t18 t623.t2.t21 t623.t2.t22))
% 10.63/11.13  (step t623.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t623.t2.t23 t623.t2.t5))
% 10.63/11.13  (step t623.t2.t25 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.identity))) :rule symm :premises (t623.t2.t23))
% 10.63/11.13  (step t623.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t623.t2.a12))
% 10.63/11.13  (step t623.t2.t27 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t623.t2.t26))
% 10.63/11.13  (step t623.t2.t28 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t623.t2.a11))
% 10.63/11.13  (step t623.t2.t29 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.63/11.13  (step t623.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t623.t2.t28 t623.t2.t29))
% 10.63/11.13  (step t623.t2.t31 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule trans :premises (t623.t2.t27 t623.t2.t30))
% 10.63/11.13  (step t623.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t623.t2.t8 t623.t2.t31))
% 10.63/11.13  (step t623.t2.t33 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2))) :rule symm :premises (t623.t2.a10))
% 10.63/11.13  (step t623.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t623.t2.t20 t623.t2.t29))
% 10.63/11.13  (step t623.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t623.t2.a9))
% 10.63/11.13  (step t623.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c2)) :rule trans :premises (t623.t2.t32 t623.t2.t33 t623.t2.t34 t623.t2.t35))
% 10.63/11.13  (step t623.t2.t37 (cl (= tptp.sk_c1 tptp.sk_c2)) :rule trans :premises (t623.t2.t25 t623.t2.t36))
% 10.63/11.13  (step t623.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t623.t2.t37 t623.t2.t5))
% 10.63/11.13  (step t623.t2.t39 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t623.t2.a8))
% 10.63/11.13  (step t623.t2.t40 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t623.t2.a1 t623.t2.t7 t623.t2.t9 t623.t2.t10 t623.t2.t24 t623.t2.t38 t623.t2.t39))
% 10.63/11.13  (step t623.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t623.t2.t40 t623.t2.t5))
% 10.63/11.13  (step t623.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t623.t2.a15))
% 10.63/11.13  (step t623.t2.t43 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t623.t2.t42))
% 10.63/11.13  (step t623.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule cong :premises (t623.t2.t40 t623.t2.t31))
% 10.63/11.13  (step t623.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)) (tptp.multiply tptp.sk_c6 tptp.identity))) :rule symm :premises (t623.t2.t32))
% 10.63/11.13  (step t623.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t623.t2.a7))
% 10.63/11.13  (step t623.t2.t47 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t623.t2.t46))
% 10.63/11.13  (step t623.t2.t48 (cl (= (tptp.multiply tptp.sk_c6 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t623.t2.t47 t623.t2.t40))
% 10.63/11.13  (step t623.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t623.t2.t46 t623.t2.t8))
% 10.63/11.13  (step t623.t2.t50 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t623.t2.t8 t623.t2.t47))
% 10.63/11.13  (step t623.t2.t51 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6))) :rule symm :premises (t623.t2.a6))
% 10.63/11.13  (step t623.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t623.t2.t23 t623.t2.t8))
% 10.63/11.13  (step t623.t2.t53 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t623.t2.t2 t623.t2.t41 t623.t2.t6 t623.t2.t19 t623.t2.t43 t623.t2.t44 t623.t2.t45 t623.t2.t48 t623.t2.t49 t623.t2.t50 t623.t2.t51 t623.t2.t52))
% 10.63/11.13  (step t623.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t623.t2.a0 t623.t2.a1 t623.t2.a2 t623.t2.a3 t623.t2.a4 t623.t2.a5 t623.t2.a6 t623.t2.a7 t623.t2.a8 t623.t2.a9 t623.t2.a10 t623.t2.a11 t623.t2.a12 t623.t2.a13 t623.t2.a14 t623.t2.a15))
% 10.63/11.13  (step t623.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t623.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t623.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t623.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 10.63/11.13  (step t623.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t623.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t623.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t623.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t623.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t623.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t623.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t623.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t623.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t623.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t623.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t623.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t623.t19 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t623.t2 t623.t3 t623.t4 t623.t5 t623.t6 t623.t7 t623.t8 t623.t9 t623.t10 t623.t11 t623.t12 t623.t13 t623.t14 t623.t15 t623.t16 t623.t17 t623.t18))
% 10.63/11.13  (step t623.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t623.t19))
% 10.63/11.13  (step t623.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t623.t20))
% 10.63/11.13  (step t623.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t623.t1 t623.t21))
% 10.63/11.13  (step t623.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.13  (step t623.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t623.t22 t623.t23))
% 10.63/11.13  (step t623.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t623.t24))
% 10.63/11.13  (step t623.t26 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t623.t25))
% 10.63/11.13  (step t623.t27 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 10.63/11.13  (step t623.t28 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= 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_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t623.t27 t623.a10 t623.a7 t623.a0 t623.a12 t623.a3 t623.a11 t623.a14 t623.a6 t623.a1 t623.a8 t623.a13 t623.a2 t623.a9 t623.a15 t623.a5 t623.a4))
% 10.63/11.13  (step t623.t29 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t623.t26 t623.t28))
% 10.63/11.13  (step t623 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t623.a0 t623.a1 t623.a2 t623.a3 t623.a4 t623.a5 t623.a6 t623.a7 t623.a8 t623.a9 t623.a10 t623.a11 t623.a12 t623.a13 t623.a14 t623.a15))
% 10.63/11.13  (step t624 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t625 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t626 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t627 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t628 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t629 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t630 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t631 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t632 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t633 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.63/11.13  (step t634 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t635 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t636 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 10.63/11.13  (step t637 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) :rule and_pos)
% 10.63/11.13  (step t638 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t639 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t640 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule resolution :premises (t623 t624 t625 t626 t627 t628 t629 t630 t631 t632 t633 t634 t635 t636 t637 t638 t639))
% 10.63/11.13  (step t641 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t640))
% 10.63/11.13  (step t642 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t641))
% 10.63/11.13  (step t643 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t622 t642))
% 10.63/11.13  (step t644 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 10.63/11.13  (step t645 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t643 t644))
% 10.63/11.13  (step t646 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t645))
% 10.63/11.13  (step t647 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t646))
% 10.63/11.13  (step t648 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t621 t647))
% 10.63/11.13  (step t649 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c2) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule reordering :premises (t648))
% 10.63/11.13  (step t650 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t651)
% 10.63/11.13  (assume t651.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t651.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.identity) (:= Z tptp.sk_c6)))
% 10.63/11.13  (step t651.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule or :premises (t651.t1))
% 10.63/11.13  (step t651.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t651.t2 t651.a0))
% 10.63/11.13  (step t651 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule subproof :discharge (t651.a0))
% 10.63/11.13  (step t652 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t650 t651))
% 10.63/11.13  (step t653 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule implies_neg2)
% 10.63/11.13  (step t654 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (=> (forall ((X $$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_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t652 t653))
% 10.63/11.13  (step t655 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule contraction :premises (t654))
% 10.63/11.13  (step t656 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies :premises (t655))
% 10.63/11.13  (step t657 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.identity) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t656 a2))
% 10.63/11.13  (step t658 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t659)
% 10.63/11.13  (assume t659.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t659.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c1)))
% 10.63/11.13  (step t659.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule or :premises (t659.t1))
% 10.63/11.13  (step t659.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t659.t2 t659.a0))
% 10.63/11.13  (step t659 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule subproof :discharge (t659.a0))
% 10.63/11.13  (step t660 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t658 t659))
% 10.63/11.13  (step t661 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule implies_neg2)
% 10.63/11.13  (step t662 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule resolution :premises (t660 t661))
% 10.63/11.13  (step t663 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule contraction :premises (t662))
% 10.63/11.13  (step t664 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule implies :premises (t663))
% 10.63/11.13  (step t665 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t664 a2))
% 10.63/11.13  (step t666 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t667)
% 10.63/11.13  (assume t667.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.63/11.13  (step t667.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 10.63/11.13  (step t667.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t667.t1))
% 10.63/11.13  (step t667.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t667.t2 t667.a0))
% 10.63/11.13  (step t667 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t667.a0))
% 10.63/11.13  (step t668 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t666 t667))
% 10.63/11.13  (step t669 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 10.63/11.13  (step t670 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t668 t669))
% 10.63/11.13  (step t671 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t670))
% 10.63/11.13  (step t672 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t671))
% 10.63/11.13  (step t673 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t672 t244))
% 10.63/11.13  (step t674 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t675)
% 10.63/11.13  (assume t675.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.13  (step t675.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 10.63/11.13  (step t675.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t675.t1))
% 10.63/11.13  (step t675.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t675.t2 t675.a0))
% 10.63/11.13  (step t675 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t675.a0))
% 10.63/11.13  (step t676 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t674 t675))
% 10.63/11.13  (step t677 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 10.63/11.13  (step t678 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t676 t677))
% 10.63/11.13  (step t679 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t678))
% 10.63/11.13  (step t680 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t679))
% 10.63/11.13  (step t681 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t680 t255))
% 10.63/11.13  (step t682 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 10.63/11.13  (step t683 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule all_simplify)
% 10.63/11.13  (step t684 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t683 t311))
% 10.63/11.13  (step t685 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t682 t684 a28))
% 10.63/11.13  (step t686 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule or :premises (t685))
% 10.63/11.13  (step t687 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t686))
% 10.63/11.13  (step t688 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.13  (step t689 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t683 t317))
% 10.63/11.13  (step t690 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t688 t689 a27))
% 10.63/11.13  (step t691 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule or :premises (t690))
% 10.63/11.13  (step t692 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t691))
% 10.63/11.13  (step t693 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t649 t218 t657 t226 t665 t673 t681 t264 t272 t280 t288 t296 t384 t687 t692))
% 10.63/11.13  (step t694 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t693))
% 10.63/11.13  (step t695 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule and_neg)
% 10.63/11.13  (step t696 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t697)
% 10.63/11.13  (assume t697.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t697.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t697.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t697.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t697.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t697.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t697.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t697.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t697.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t697.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t697.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t697.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t697.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t697.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (step t697.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t697.t2)
% 10.63/11.13  (assume t697.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t697.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t697.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (assume t697.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t697.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t697.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t697.t2.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t697.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t697.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t697.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t697.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t697.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t697.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t697.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (step t697.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t697.t2.a13))
% 10.63/11.13  (step t697.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t697.t2.t1))
% 10.63/11.13  (step t697.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t697.t2.a11))
% 10.63/11.13  (step t697.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t697.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t697.t2.t3 t697.t2.t4))
% 10.63/11.13  (step t697.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t697.t2.t5))
% 10.63/11.13  (step t697.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t697.t2.a12))
% 10.63/11.13  (step t697.t2.t8 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t697.t2.t6 t697.t2.t7))
% 10.63/11.13  (step t697.t2.t9 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t697.t2.t8))
% 10.63/11.13  (step t697.t2.t10 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t697.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t697.t2.t9 t697.t2.t10))
% 10.63/11.13  (step t697.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t697.t2.t7))
% 10.63/11.13  (step t697.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t697.t2.a0))
% 10.63/11.13  (step t697.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t697.t2.a1))
% 10.63/11.13  (step t697.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t697.t2.t13 t697.t2.t14))
% 10.63/11.13  (step t697.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule symm :premises (t697.t2.t15))
% 10.63/11.13  (step t697.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t697.t2.a2))
% 10.63/11.13  (step t697.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t697.t2.a3))
% 10.63/11.13  (step t697.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t697.t2.t18))
% 10.63/11.13  (step t697.t2.t20 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t697.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule cong :premises (t697.t2.t19 t697.t2.t20))
% 10.63/11.13  (step t697.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t697.t2.t21))
% 10.63/11.13  (step t697.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t697.t2.a4))
% 10.63/11.13  (step t697.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t697.t2.t16 t697.t2.t17 t697.t2.t22 t697.t2.t23))
% 10.63/11.13  (step t697.t2.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t697.t2.t24))
% 10.63/11.13  (step t697.t2.t26 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t697.t2.t25 t697.t2.t4))
% 10.63/11.13  (step t697.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t697.t2.a10))
% 10.63/11.13  (step t697.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t697.t2.t27))
% 10.63/11.13  (step t697.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t697.t2.t4 t697.t2.t24))
% 10.63/11.13  (step t697.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t697.t2.t14 t697.t2.t10))
% 10.63/11.13  (step t697.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t697.t2.t30))
% 10.63/11.13  (step t697.t2.t32 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t697.t2.a9))
% 10.63/11.13  (step t697.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule symm :premises (t697.t2.t32))
% 10.63/11.13  (step t697.t2.t34 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.63/11.13  (step t697.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t697.t2.a8))
% 10.63/11.13  (step t697.t2.t36 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t697.t2.t34 t697.t2.t35))
% 10.63/11.13  (step t697.t2.t37 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t697.t2.a5 t697.t2.t31 t697.t2.t33 t697.t2.t36))
% 10.63/11.13  (step t697.t2.t38 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t697.t2.a0 t697.t2.t37))
% 10.63/11.13  (step t697.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t697.t2.a7))
% 10.63/11.13  (step t697.t2.t40 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t697.t2.t18 t697.t2.t4))
% 10.63/11.13  (step t697.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t697.t2.a6))
% 10.63/11.13  (step t697.t2.t42 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t697.t2.t12 t697.t2.t5 t697.t2.t26 t697.t2.t28 t697.t2.t29 t697.t2.t38 t697.t2.t39 t697.t2.t40 t697.t2.t41))
% 10.63/11.13  (step t697.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t697.t2.t8 t697.t2.t42 t697.t2.a1))
% 10.63/11.13  (step t697.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t697.t2.t43 t697.t2.t10))
% 10.63/11.13  (step t697.t2.t45 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t697.t2.a5))
% 10.63/11.13  (step t697.t2.t46 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t697.t2.t23))
% 10.63/11.13  (step t697.t2.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule symm :premises (t697.t2.t17))
% 10.63/11.13  (step t697.t2.t48 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t697.t2.t2 t697.t2.t11 t697.t2.t44 t697.t2.t30 t697.t2.t45 t697.t2.t46 t697.t2.t21 t697.t2.t47 t697.t2.t15))
% 10.63/11.13  (step t697.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :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 t697.t2.a11 t697.t2.a12 t697.t2.a13))
% 10.63/11.13  (step t697.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t697.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t697.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t697.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t697.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t697.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t697.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t697.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t697.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t697.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t697.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t697.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t697.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t697.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t697.t17 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :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 t697.t14 t697.t15 t697.t16))
% 10.63/11.13  (step t697.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t697.t17))
% 10.63/11.13  (step t697.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t697.t18))
% 10.63/11.13  (step t697.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t697.t1 t697.t19))
% 10.63/11.13  (step t697.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.13  (step t697.t22 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t697.t20 t697.t21))
% 10.63/11.13  (step t697.t23 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t697.t22))
% 10.63/11.13  (step t697.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t697.t23))
% 10.63/11.13  (step t697.t25 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.63/11.13  (step t697.t26 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t697.t25 t697.a3 t697.a4 t697.a13 t697.a11 t697.a6 t697.a2 t697.a5 t697.a12 t697.a1 t697.a10 t697.a9 t697.a0 t697.a7 t697.a8))
% 10.63/11.13  (step t697.t27 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t697.t24 t697.t26))
% 10.63/11.13  (step t697 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :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 t697.a11 t697.a12 t697.a13))
% 10.63/11.13  (step t698 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t699 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t700 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t701 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t702 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t703 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t704 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t705 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t706 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t707 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t708 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t709 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t710 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t711 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t712 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t697 t698 t699 t700 t701 t702 t703 t704 t705 t706 t707 t708 t709 t710 t711))
% 10.63/11.13  (step t713 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t712))
% 10.63/11.13  (step t714 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t713))
% 10.63/11.13  (step t715 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t696 t714))
% 10.63/11.13  (step t716 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.13  (step t717 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t715 t716))
% 10.63/11.13  (step t718 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t717))
% 10.63/11.13  (step t719 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t718))
% 10.63/11.13  (step t720 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t695 t719))
% 10.63/11.13  (step t721 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t722)
% 10.63/11.13  (assume t722.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t722.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c6)))
% 10.63/11.13  (step t722.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule or :premises (t722.t1))
% 10.63/11.13  (step t722.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t722.t2 t722.a0))
% 10.63/11.13  (step t722 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule subproof :discharge (t722.a0))
% 10.63/11.13  (step t723 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t721 t722))
% 10.63/11.13  (step t724 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies_neg2)
% 10.63/11.13  (step t725 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (=> (forall ((X $$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_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule resolution :premises (t723 t724))
% 10.63/11.13  (step t726 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule contraction :premises (t725))
% 10.63/11.13  (step t727 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies :premises (t726))
% 10.63/11.13  (step t728 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t727 a2))
% 10.63/11.13  (step t729 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t730)
% 10.63/11.13  (assume t730.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t730.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c7)))
% 10.63/11.13  (step t730.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule or :premises (t730.t1))
% 10.63/11.13  (step t730.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t730.t2 t730.a0))
% 10.63/11.13  (step t730 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule subproof :discharge (t730.a0))
% 10.63/11.13  (step t731 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t729 t730))
% 10.63/11.13  (step t732 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.13  (step t733 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (=> (forall ((X $$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_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t731 t732))
% 10.63/11.13  (step t734 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule contraction :premises (t733))
% 10.63/11.13  (step t735 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies :premises (t734))
% 10.63/11.13  (step t736 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t735 a2))
% 10.63/11.13  (step t737 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t738)
% 10.63/11.13  (assume t738.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t738.t1 (cl (or (not (forall ((X $$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_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c6) (:= Z tptp.sk_c5)))
% 10.63/11.13  (step t738.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule or :premises (t738.t1))
% 10.63/11.13  (step t738.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule resolution :premises (t738.t2 t738.a0))
% 10.63/11.13  (step t738 (cl (not (forall ((X $$unsorted) (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_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule subproof :discharge (t738.a0))
% 10.63/11.13  (step t739 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule resolution :premises (t737 t738))
% 10.63/11.13  (step t740 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule implies_neg2)
% 10.63/11.13  (step t741 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (=> (forall ((X $$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_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule resolution :premises (t739 t740))
% 10.63/11.13  (step t742 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule contraction :premises (t741))
% 10.63/11.13  (step t743 (cl (not (forall ((X $$unsorted) (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_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule implies :premises (t742))
% 10.63/11.13  (step t744 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule resolution :premises (t743 a2))
% 10.63/11.13  (step t745 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t746)
% 10.63/11.13  (assume t746.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.63/11.13  (step t746.t1 (cl (or (not (forall ((X $$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_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 10.63/11.13  (step t746.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t746.t1))
% 10.63/11.13  (step t746.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t746.t2 t746.a0))
% 10.63/11.13  (step t746 (cl (not (forall ((X $$unsorted) (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_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t746.a0))
% 10.63/11.13  (step t747 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t745 t746))
% 10.63/11.13  (step t748 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 10.63/11.13  (step t749 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$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_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t747 t748))
% 10.63/11.13  (step t750 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t749))
% 10.63/11.13  (step t751 (cl (not (forall ((X $$unsorted) (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_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t750))
% 10.63/11.13  (step t752 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t751 a2))
% 10.63/11.13  (step t753 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t754)
% 10.63/11.13  (assume t754.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t754.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t754.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t754.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t754.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t754.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t754.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t754.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t754.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t754.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t754.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t754.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t754.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t754.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (step t754.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t754.t2)
% 10.63/11.13  (assume t754.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t754.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t754.t2.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t754.t2.a3 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t754.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t754.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (assume t754.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t754.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t754.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t754.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t754.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t754.t2.a11 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t754.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t754.t2.a13 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (step t754.t2.t1 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t754.t2.a2))
% 10.63/11.13  (step t754.t2.t2 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t754.t2.a7))
% 10.63/11.13  (step t754.t2.t3 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t754.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t754.t2.t2 t754.t2.t3))
% 10.63/11.13  (step t754.t2.t5 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t754.t2.t4))
% 10.63/11.13  (step t754.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t754.t2.a13))
% 10.63/11.13  (step t754.t2.t7 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t754.t2.t6))
% 10.63/11.13  (step t754.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t754.t2.a4))
% 10.63/11.13  (step t754.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t754.t2.t8))
% 10.63/11.13  (step t754.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t754.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t754.t2.t9 t754.t2.t10))
% 10.63/11.13  (step t754.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t754.t2.a12))
% 10.63/11.13  (step t754.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t754.t2.t12))
% 10.63/11.13  (step t754.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t754.t2.a6))
% 10.63/11.13  (step t754.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.63/11.13  (step t754.t2.t16 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t754.t2.a11))
% 10.63/11.13  (step t754.t2.t17 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule symm :premises (t754.t2.t16))
% 10.63/11.13  (step t754.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule cong :premises (t754.t2.t15 t754.t2.t17))
% 10.63/11.13  (step t754.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t754.t2.a10))
% 10.63/11.13  (step t754.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule symm :premises (t754.t2.t19))
% 10.63/11.13  (step t754.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t754.t2.t20))
% 10.63/11.13  (step t754.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t754.t2.a9))
% 10.63/11.13  (step t754.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t754.t2.t18 t754.t2.t21 t754.t2.t4 t754.t2.t22))
% 10.63/11.13  (step t754.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t754.t2.t14 t754.t2.t23))
% 10.63/11.13  (step t754.t2.t25 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t754.t2.t14))
% 10.63/11.13  (step t754.t2.t26 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule symm :premises (t754.t2.t2))
% 10.63/11.13  (step t754.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule cong :premises (t754.t2.t25 t754.t2.t26))
% 10.63/11.13  (step t754.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t754.t2.a5))
% 10.63/11.13  (step t754.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule symm :premises (t754.t2.t28))
% 10.63/11.13  (step t754.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t754.t2.t29))
% 10.63/11.13  (step t754.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t754.t2.t9))
% 10.63/11.13  (step t754.t2.t32 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t754.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t754.t2.t31 t754.t2.t32))
% 10.63/11.13  (step t754.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t754.t2.a3))
% 10.63/11.13  (step t754.t2.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t754.t2.t34))
% 10.63/11.13  (step t754.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t754.t2.t35))
% 10.63/11.13  (step t754.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t754.t2.t27 t754.t2.t30 t754.t2.t33 t754.t2.t36))
% 10.63/11.13  (step t754.t2.t38 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t754.t2.t37))
% 10.63/11.13  (step t754.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t754.t2.t10 t754.t2.t38))
% 10.63/11.13  (step t754.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t754.t2.a8))
% 10.63/11.13  (step t754.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t754.t2.t40))
% 10.63/11.13  (step t754.t2.t42 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t754.t2.t41))
% 10.63/11.13  (step t754.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t754.t2.t37 t754.t2.t10))
% 10.63/11.13  (step t754.t2.t44 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule symm :premises (t754.t2.t1))
% 10.63/11.13  (step t754.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t754.t2.t44 t754.t2.t10))
% 10.63/11.13  (step t754.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t754.t2.a1))
% 10.63/11.13  (step t754.t2.t47 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t754.t2.t46))
% 10.63/11.13  (step t754.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t754.t2.t47))
% 10.63/11.13  (step t754.t2.t49 (cl (= tptp.sk_c7 tptp.identity)) :rule trans :premises (t754.t2.t7 t754.t2.t11 t754.t2.t13 t754.t2.t24 t754.t2.t39 t754.t2.t42 t754.t2.t43 t754.t2.t45 t754.t2.t48))
% 10.63/11.13  (step t754.t2.t50 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t754.t2.t45 t754.t2.t48))
% 10.63/11.13  (step t754.t2.t51 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t754.t2.t50))
% 10.63/11.13  (step t754.t2.t52 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t754.t2.t2 t754.t2.t49 t754.t2.t51))
% 10.63/11.13  (step t754.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t754.t2.t52 t754.t2.t3))
% 10.63/11.13  (step t754.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t754.t2.t50 t754.t2.t3))
% 10.63/11.13  (step t754.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t754.t2.a0))
% 10.63/11.13  (step t754.t2.t56 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t754.t2.t55))
% 10.63/11.13  (step t754.t2.t57 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t754.t2.t56))
% 10.63/11.13  (step t754.t2.t58 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t754.t2.t1 t754.t2.a9 t754.t2.t5 t754.t2.t53 t754.t2.t54 t754.t2.t57))
% 10.63/11.13  (step t754.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule subproof :discharge (t754.t2.a0 t754.t2.a1 t754.t2.a2 t754.t2.a3 t754.t2.a4 t754.t2.a5 t754.t2.a6 t754.t2.a7 t754.t2.a8 t754.t2.a9 t754.t2.a10 t754.t2.a11 t754.t2.a12 t754.t2.a13))
% 10.63/11.13  (step t754.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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)
% 10.63/11.13  (step t754.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (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_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t754.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t754.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t754.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (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_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t754.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t754.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t754.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t754.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t754.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t754.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t754.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t754.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t754.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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)
% 10.63/11.13  (step t754.t17 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t754.t2 t754.t3 t754.t4 t754.t5 t754.t6 t754.t7 t754.t8 t754.t9 t754.t10 t754.t11 t754.t12 t754.t13 t754.t14 t754.t15 t754.t16))
% 10.63/11.13  (step t754.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule reordering :premises (t754.t17))
% 10.63/11.13  (step t754.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule contraction :premises (t754.t18))
% 10.63/11.13  (step t754.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t754.t1 t754.t19))
% 10.63/11.13  (step t754.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg2)
% 10.63/11.13  (step t754.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t754.t20 t754.t21))
% 10.63/11.13  (step t754.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t754.t22))
% 10.63/11.13  (step t754.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule implies :premises (t754.t23))
% 10.63/11.13  (step t754.t25 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 10.63/11.13  (step t754.t26 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t754.t25 t754.a8 t754.a7 t754.a0 t754.a6 t754.a11 t754.a13 t754.a3 t754.a4 t754.a9 t754.a2 t754.a10 t754.a1 t754.a12 t754.a5))
% 10.63/11.13  (step t754.t27 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t754.t24 t754.t26))
% 10.63/11.13  (step t754 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule subproof :discharge (t754.a0 t754.a1 t754.a2 t754.a3 t754.a4 t754.a5 t754.a6 t754.a7 t754.a8 t754.a9 t754.a10 t754.a11 t754.a12 t754.a13))
% 10.63/11.13  (step t755 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t756 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t757 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t758 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t759 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t760 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t761 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t762 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t763 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t764 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t765 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t766 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t767 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t768 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t769 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c5) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t754 t755 t756 t757 t758 t759 t760 t761 t762 t763 t764 t765 t766 t767 t768))
% 10.63/11.13  (step t770 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule reordering :premises (t769))
% 10.63/11.13  (step t771 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule contraction :premises (t770))
% 10.63/11.13  (step t772 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t753 t771))
% 10.63/11.13  (step t773 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies_neg2)
% 10.63/11.13  (step t774 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t772 t773))
% 10.63/11.13  (step t775 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t774))
% 10.63/11.13  (step t776 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule implies :premises (t775))
% 10.63/11.13  (step t777 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) :rule resolution :premises (t695 t776))
% 10.63/11.13  (step t778 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c7)))))) :rule or :premises (t449))
% 10.63/11.13  (step t779 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t780)
% 10.63/11.13  (assume t780.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 10.63/11.13  (step t780.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule forall_inst :args ((:= X3 tptp.sk_c7)))
% 10.63/11.13  (step t780.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule or :premises (t780.t1))
% 10.63/11.13  (step t780.t3 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t780.t2 t780.a0))
% 10.63/11.13  (step t780 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule subproof :discharge (t780.a0))
% 10.63/11.13  (step t781 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t779 t780))
% 10.63/11.13  (step t782 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule implies_neg2)
% 10.63/11.13  (step t783 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t781 t782))
% 10.63/11.13  (step t784 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule contraction :premises (t783))
% 10.63/11.13  (step t785 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) :rule implies :premises (t784))
% 10.63/11.13  (step t786 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t787)
% 10.63/11.13  (assume t787.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))
% 10.63/11.13  (step t787.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (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 ((:= X1 tptp.sk_c1)))
% 10.63/11.13  (step t787.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t787.t1))
% 10.63/11.13  (step t787.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t787.t2 t787.a0))
% 10.63/11.13  (step t787 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (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 (t787.a0))
% 10.63/11.13  (step t788 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t786 t787))
% 10.63/11.13  (step t789 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (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)
% 10.63/11.13  (step t790 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (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 (t788 t789))
% 10.63/11.13  (step t791 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t790))
% 10.63/11.13  (step t792 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1)))))) (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 (t791))
% 10.63/11.13  (step t793 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule or_pos)
% 10.63/11.13  (step t794 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))))) :rule reordering :premises (t793))
% 10.63/11.13  (step t795 (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)
% 10.63/11.13  (step t796 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (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 (t795))
% 10.63/11.13  (step t797 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule and_neg)
% 10.63/11.13  (step t798 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t799)
% 10.63/11.13  (assume t799.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t799.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t799.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t799.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t799.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t799.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t799.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t799.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t799.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t799.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))
% 10.63/11.13  (assume t799.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t799.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (assume t799.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t799.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t799.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t799.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t799.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (step t799.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg1)
% 10.63/11.13  (anchor :step t799.t2)
% 10.63/11.13  (assume t799.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.63/11.13  (assume t799.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.63/11.13  (assume t799.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))
% 10.63/11.13  (assume t799.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.63/11.13  (assume t799.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.13  (assume t799.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.63/11.13  (assume t799.t2.a6 (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))
% 10.63/11.13  (assume t799.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.63/11.13  (assume t799.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.63/11.13  (assume t799.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.13  (assume t799.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.13  (assume t799.t2.a11 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.13  (assume t799.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.63/11.13  (assume t799.t2.a13 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.63/11.13  (assume t799.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))))
% 10.63/11.13  (assume t799.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 10.63/11.13  (assume t799.t2.a16 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 10.63/11.13  (step t799.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t799.t2.a16))
% 10.63/11.13  (step t799.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t799.t2.t1))
% 10.63/11.13  (step t799.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t799.t2.a6))
% 10.63/11.13  (step t799.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.63/11.13  (step t799.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t799.t2.t3 t799.t2.t4))
% 10.63/11.13  (step t799.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t799.t2.t5))
% 10.63/11.13  (step t799.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t799.t2.a7))
% 10.63/11.13  (step t799.t2.t8 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.identity)) :rule trans :premises (t799.t2.t6 t799.t2.t7))
% 10.63/11.13  (step t799.t2.t9 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t799.t2.t8))
% 10.63/11.13  (step t799.t2.t10 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.13  (step t799.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t799.t2.t9 t799.t2.t10))
% 10.63/11.13  (step t799.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t799.t2.a13))
% 10.63/11.13  (step t799.t2.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t799.t2.t12))
% 10.63/11.13  (step t799.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t799.t2.a1))
% 10.63/11.13  (step t799.t2.t15 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t799.t2.t14))
% 10.63/11.13  (step t799.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t799.t2.t15 t799.t2.t4))
% 10.63/11.13  (step t799.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t799.t2.a12))
% 10.63/11.13  (step t799.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t799.t2.t17))
% 10.63/11.13  (step t799.t2.t19 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t799.t2.a3))
% 10.63/11.13  (step t799.t2.t20 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.63/11.13  (step t799.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t799.t2.a11))
% 10.63/11.13  (step t799.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule symm :premises (t799.t2.t21))
% 10.63/11.13  (step t799.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule cong :premises (t799.t2.t20 t799.t2.t22))
% 10.63/11.13  (step t799.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t799.t2.a10))
% 10.63/11.13  (step t799.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule symm :premises (t799.t2.t24))
% 10.63/11.13  (step t799.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t799.t2.t25))
% 10.63/11.13  (step t799.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t799.t2.a4))
% 10.63/11.13  (step t799.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t799.t2.t27 t799.t2.t10))
% 10.63/11.13  (step t799.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t799.t2.a9))
% 10.63/11.13  (step t799.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t799.t2.t23 t799.t2.t26 t799.t2.t28 t799.t2.t29))
% 10.63/11.13  (step t799.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t799.t2.t19 t799.t2.t30))
% 10.63/11.13  (step t799.t2.t32 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t799.t2.t19))
% 10.63/11.13  (step t799.t2.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule symm :premises (t799.t2.t27))
% 10.63/11.13  (step t799.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule cong :premises (t799.t2.t32 t799.t2.t33))
% 10.63/11.13  (step t799.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t799.t2.a2))
% 10.63/11.13  (step t799.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule symm :premises (t799.t2.t35))
% 10.63/11.13  (step t799.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t799.t2.t36))
% 10.63/11.13  (step t799.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t799.t2.t15))
% 10.63/11.13  (step t799.t2.t39 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.63/11.13  (step t799.t2.t40 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t799.t2.t38 t799.t2.t39))
% 10.63/11.13  (step t799.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t799.t2.a0))
% 10.63/11.13  (step t799.t2.t42 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t799.t2.t41))
% 10.63/11.13  (step t799.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t799.t2.t42))
% 10.63/11.13  (step t799.t2.t44 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t799.t2.t34 t799.t2.t37 t799.t2.t40 t799.t2.t43))
% 10.63/11.13  (step t799.t2.t45 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t799.t2.t4 t799.t2.t44))
% 10.63/11.13  (step t799.t2.t46 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t799.t2.t45))
% 10.63/11.13  (step t799.t2.t47 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t799.t2.a5))
% 10.63/11.13  (step t799.t2.t48 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t799.t2.t44))
% 10.63/11.13  (step t799.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t799.t2.t48 t799.t2.t4))
% 10.63/11.13  (step t799.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t799.t2.t49))
% 10.63/11.13  (step t799.t2.t51 (cl (= tptp.sk_c7 tptp.identity)) :rule trans :premises (t799.t2.t13 t799.t2.t16 t799.t2.t18 t799.t2.t31 t799.t2.t46 t799.t2.t47 t799.t2.t50 t799.t2.t6 t799.t2.t7))
% 10.63/11.13  (step t799.t2.t52 (cl (= tptp.identity tptp.sk_c7)) :rule symm :premises (t799.t2.t51))
% 10.63/11.13  (step t799.t2.t53 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t799.t2.t8 t799.t2.t52 t799.t2.t33))
% 10.63/11.13  (step t799.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t799.t2.t53 t799.t2.t10))
% 10.63/11.13  (step t799.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6))) :rule symm :premises (t799.t2.t40))
% 10.63/11.13  (step t799.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t799.t2.t34))
% 10.63/11.13  (step t799.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t799.t2.t4 t799.t2.t13))
% 10.63/11.13  (step t799.t2.t58 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7))) :rule symm :premises (t799.t2.a15))
% 10.63/11.13  (step t799.t2.t59 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule refl)
% 10.63/11.13  (step t799.t2.t60 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity))) :rule cong :premises (t799.t2.t59 t799.t2.t51))
% 10.63/11.13  (step t799.t2.t61 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity))) :rule symm :premises (t799.t2.a14))
% 10.63/11.13  (step t799.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule symm :premises (t799.t2.t61))
% 10.63/11.13  (step t799.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t799.t2.a8))
% 10.63/11.13  (step t799.t2.t64 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t799.t2.t4 t799.t2.t63))
% 10.63/11.13  (step t799.t2.t65 (cl (= tptp.identity tptp.identity)) :rule refl)
% 10.63/11.13  (step t799.t2.t66 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t799.t2.t51 t799.t2.t65))
% 10.63/11.13  (step t799.t2.t67 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t799.t2.t7))
% 10.63/11.13  (step t799.t2.t68 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t799.t2.t47))
% 10.63/11.13  (step t799.t2.t69 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t799.t2.t2 t799.t2.t11 t799.t2.t54 t799.t2.t28 t799.t2.t29 t799.t2.t42 t799.t2.t55 t799.t2.t36 t799.t2.t56 t799.t2.t57 t799.t2.t58 t799.t2.t60 t799.t2.t62 t799.t2.t64 t799.t2.t66 t799.t2.t63 t799.t2.t67 t799.t2.t5 t799.t2.t49 t799.t2.t68 t799.t2.t45))
% 10.63/11.13  (step t799.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t799.t2.a0 t799.t2.a1 t799.t2.a2 t799.t2.a3 t799.t2.a4 t799.t2.a5 t799.t2.a6 t799.t2.a7 t799.t2.a8 t799.t2.a9 t799.t2.a10 t799.t2.a11 t799.t2.a12 t799.t2.a13 t799.t2.a14 t799.t2.a15 t799.t2.a16))
% 10.63/11.13  (step t799.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t799.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t799.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.13  (step t799.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.13  (step t799.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.13  (step t799.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t799.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t799.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t799.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.13  (step t799.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t799.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.13  (step t799.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t799.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t799.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.13  (step t799.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 10.63/11.13  (step t799.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.13  (step t799.t19 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.13  (step t799.t20 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t799.t2 t799.t3 t799.t4 t799.t5 t799.t6 t799.t7 t799.t8 t799.t9 t799.t10 t799.t11 t799.t12 t799.t13 t799.t14 t799.t15 t799.t16 t799.t17 t799.t18 t799.t19))
% 10.63/11.13  (step t799.t21 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule reordering :premises (t799.t20))
% 10.63/11.14  (step t799.t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule contraction :premises (t799.t21))
% 10.63/11.14  (step t799.t23 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= 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 (t799.t1 t799.t22))
% 10.63/11.14  (step t799.t24 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= 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)
% 10.63/11.14  (step t799.t25 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t799.t23 t799.t24))
% 10.63/11.14  (step t799.t26 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t799.t25))
% 10.63/11.14  (step t799.t27 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule implies :premises (t799.t26))
% 10.63/11.14  (step t799.t28 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_neg)
% 10.63/11.14  (step t799.t29 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t799.t28 t799.a7 t799.a14 t799.a16 t799.a3 t799.a4 t799.a12 t799.a0 t799.a8 t799.a5 t799.a2 t799.a13 t799.a1 t799.a15 t799.a6 t799.a9 t799.a10 t799.a11))
% 10.63/11.14  (step t799.t30 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t799.t27 t799.t29))
% 10.63/11.14  (step t799 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t799.a0 t799.a1 t799.a2 t799.a3 t799.a4 t799.a5 t799.a6 t799.a7 t799.a8 t799.a9 t799.a10 t799.a11 t799.a12 t799.a13 t799.a14 t799.a15 t799.a16))
% 10.63/11.14  (step t800 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) :rule and_pos)
% 10.63/11.14  (step t801 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t802 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t803 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.63/11.14  (step t804 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.14  (step t805 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.63/11.14  (step t806 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.63/11.14  (step t807 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.63/11.14  (step t808 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.63/11.14  (step t809 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) :rule and_pos)
% 10.63/11.14  (step t810 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 10.63/11.14  (step t811 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t812 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.14  (step t813 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.14  (step t814 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.63/11.14  (step t815 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.63/11.14  (step t816 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule and_pos)
% 10.63/11.14  (step t817 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t799 t800 t801 t802 t803 t804 t805 t806 t807 t808 t809 t810 t811 t812 t813 t814 t815 t816))
% 10.63/11.14  (step t818 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule reordering :premises (t817))
% 10.63/11.14  (step t819 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule contraction :premises (t818))
% 10.63/11.14  (step t820 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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 (t798 t819))
% 10.63/11.14  (step t821 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 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)
% 10.63/11.14  (step t822 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t820 t821))
% 10.63/11.14  (step t823 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t822))
% 10.63/11.14  (step t824 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule implies :premises (t823))
% 10.63/11.14  (step t825 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t797 t824))
% 10.63/11.14  (step t826 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule reordering :premises (t825))
% 10.63/11.14  (step t827 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule and_neg)
% 10.63/11.14  (step t828 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule implies_neg1)
% 10.63/11.14  (anchor :step t829)
% 10.63/11.14  (assume t829.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.14  (assume t829.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.14  (assume t829.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.14  (assume t829.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.14  (step t829.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg1)
% 10.63/11.14  (anchor :step t829.t2)
% 10.63/11.14  (assume t829.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))
% 10.63/11.14  (assume t829.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))
% 10.63/11.14  (assume t829.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))
% 10.63/11.14  (assume t829.t2.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 10.63/11.14  (step t829.t2.t1 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t829.t2.a3))
% 10.63/11.14  (step t829.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t829.t2.t1))
% 10.63/11.14  (step t829.t2.t3 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t829.t2.a2))
% 10.63/11.14  (step t829.t2.t4 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule symm :premises (t829.t2.t3))
% 10.63/11.14  (step t829.t2.t5 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 10.63/11.14  (step t829.t2.t6 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t829.t2.t4 t829.t2.t5))
% 10.63/11.14  (step t829.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t829.t2.a1))
% 10.63/11.14  (step t829.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule symm :premises (t829.t2.t7))
% 10.63/11.14  (step t829.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.63/11.14  (step t829.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t829.t2.a0))
% 10.63/11.14  (step t829.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t829.t2.t9 t829.t2.t10))
% 10.63/11.14  (step t829.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t829.t2.t2 t829.t2.t6 t829.t2.t8 t829.t2.t11))
% 10.63/11.14  (step t829.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule subproof :discharge (t829.t2.a0 t829.t2.a1 t829.t2.a2 t829.t2.a3))
% 10.63/11.14  (step t829.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t829.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.14  (step t829.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.14  (step t829.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t829.t7 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule resolution :premises (t829.t2 t829.t3 t829.t4 t829.t5 t829.t6))
% 10.63/11.14  (step t829.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t829.t7))
% 10.63/11.14  (step t829.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule contraction :premises (t829.t8))
% 10.63/11.14  (step t829.t10 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= 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 (t829.t1 t829.t9))
% 10.63/11.14  (step t829.t11 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.14  (step t829.t12 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t829.t10 t829.t11))
% 10.63/11.14  (step t829.t13 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t829.t12))
% 10.63/11.14  (step t829.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule implies :premises (t829.t13))
% 10.63/11.14  (step t829.t15 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_neg)
% 10.63/11.14  (step t829.t16 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t829.t15 t829.a0 t829.a3 t829.a2 t829.a1))
% 10.63/11.14  (step t829.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule resolution :premises (t829.t14 t829.t16))
% 10.63/11.14  (step t829 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule subproof :discharge (t829.a0 t829.a1 t829.a2 t829.a3))
% 10.63/11.14  (step t830 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t831 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 10.63/11.14  (step t832 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule and_pos)
% 10.63/11.14  (step t833 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule and_pos)
% 10.63/11.14  (step t834 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))))) :rule resolution :premises (t829 t830 t831 t832 t833))
% 10.63/11.14  (step t835 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t834))
% 10.63/11.14  (step t836 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule contraction :premises (t835))
% 10.63/11.14  (step t837 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= 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 (t828 t836))
% 10.63/11.14  (step t838 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies_neg2)
% 10.63/11.14  (step t839 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t837 t838))
% 10.63/11.14  (step t840 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t839))
% 10.63/11.14  (step t841 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule implies :premises (t840))
% 10.63/11.14  (step t842 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule resolution :premises (t827 t841))
% 10.63/11.14  (step t843 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c5))))) :rule reordering :premises (t842))
% 10.63/11.14  (step t844 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) :rule implies_neg1)
% 10.63/11.14  (anchor :step t845)
% 10.63/11.14  (assume t845.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))))
% 10.63/11.14  (step t845.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 10.63/11.14  (step t845.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule or :premises (t845.t1))
% 10.63/11.14  (step t845.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule resolution :premises (t845.t2 t845.a0))
% 10.63/11.14  (step t845 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule subproof :discharge (t845.a0))
% 10.63/11.14  (step t846 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule resolution :premises (t844 t845))
% 10.63/11.14  (step t847 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule implies_neg2)
% 10.63/11.14  (step t848 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t846 t847))
% 10.63/11.14  (step t849 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule contraction :premises (t848))
% 10.63/11.14  (step t850 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies :premises (t849))
% 10.63/11.14  (step t851 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule or_pos)
% 10.63/11.14  (step t852 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule reordering :premises (t851))
% 10.63/11.14  (step t853 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t465 t474 t720 t728 t736 t673 t744 t752 t256 t280 t288 t296 t777 t728 t736 t673 t744 t752 t256 t280 t288 t296 t778 t785 t792 t794 t796 t826 t728 t736 t673 t744 t752 t256 t543 t376 t280 t288 t296 t384 t843 t744 t850 t852))
% 10.63/11.14  (step t854 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t853))
% 10.63/11.14  (step t855 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t694 t854))
% 10.63/11.14  (step t856 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t855))
% 10.63/11.14  (step t857 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t856))
% 10.63/11.14  (step t858 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t620 t857))
% 10.63/11.14  (step t859 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t858))
% 10.63/11.14  (step t860 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule resolution :premises (t397 t859))
% 10.63/11.14  (step t861 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c5)))) :rule contraction :premises (t860))
% 10.63/11.14  (step t862 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t323 t861))
% 10.63/11.14  (step t863 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t862))
% 10.63/11.14  (step t864 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t122 t863))
% 10.63/11.14  (step t865 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.63/11.14  (step t866 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 10.63/11.14  (step t867 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t118 t866))
% 10.63/11.14  (step t868 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t865 t867 a7))
% 10.63/11.14  (step t869 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule or :premises (t868))
% 10.63/11.14  (step t870 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t869 t863))
% 10.63/11.14  (step t871 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.63/11.14  (step t872 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t118 t299))
% 10.63/11.14  (step t873 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t871 t872 a6))
% 10.63/11.14  (step t874 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t873))
% 10.63/11.14  (step t875 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t874 t863))
% 10.63/11.14  (step t876 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.63/11.14  (step t877 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t118 t305))
% 10.63/11.14  (step t878 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t876 t877 a5))
% 10.63/11.14  (step t879 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t878))
% 10.63/11.14  (step t880 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t879 t863))
% 10.63/11.14  (step t881 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 10.63/11.14  (step t882 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c2) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t118 t311))
% 10.63/11.14  (step t883 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t881 t882 a4))
% 10.63/11.14  (step t884 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule or :premises (t883))
% 10.63/11.14  (step t885 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t884 t863))
% 10.63/11.14  (step t886 (cl (not (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule equiv_pos2)
% 10.63/11.14  (step t887 (cl (= (or (= (tptp.inverse tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t118 t317))
% 10.63/11.14  (step t888 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t886 t887 a3))
% 10.63/11.14  (step t889 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule or :premises (t888))
% 10.63/11.14  (step t890 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule resolution :premises (t889 t863))
% 10.63/11.14  (step t891 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.63/11.14  (anchor :step t892)
% 10.63/11.14  (assume t892.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.63/11.14  (step t892.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 10.63/11.14  (step t892.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t892.t1))
% 10.63/11.14  (step t892.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t892.t2 t892.a0))
% 10.63/11.14  (step t892 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t892.a0))
% 10.63/11.14  (step t893 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t891 t892))
% 10.63/11.14  (step t894 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 10.63/11.14  (step t895 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t893 t894))
% 10.63/11.14  (step t896 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t895))
% 10.63/11.14  (step t897 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t896))
% 10.63/11.14  (step t898 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t897 t244))
% 10.63/11.14  (step t899 (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)
% 10.63/11.14  (anchor :step t900)
% 10.63/11.14  (assume t900.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.14  (step t900.t1 (cl (or (not (forall ((X $$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)))
% 10.63/11.14  (step t900.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t900.t1))
% 10.63/11.14  (step t900.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t900.t2 t900.a0))
% 10.63/11.14  (step t900 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t900.a0))
% 10.63/11.14  (step t901 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t899 t900))
% 10.63/11.14  (step t902 (cl (=> (forall ((X $$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)
% 10.63/11.14  (step t903 (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 (t901 t902))
% 10.63/11.14  (step t904 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t903))
% 10.63/11.14  (step t905 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t904))
% 10.63/11.14  (step t906 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t905 t255))
% 10.63/11.14  (step t907 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.63/11.14  (anchor :step t908)
% 10.63/11.14  (assume t908.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.63/11.14  (step t908.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 10.63/11.14  (step t908.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t908.t1))
% 10.63/11.14  (step t908.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t908.t2 t908.a0))
% 10.63/11.14  (step t908 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t908.a0))
% 10.63/11.14  (step t909 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t907 t908))
% 10.63/11.14  (step t910 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 10.63/11.14  (step t911 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t909 t910))
% 10.63/11.14  (step t912 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t911))
% 10.63/11.14  (step t913 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t912))
% 10.63/11.14  (step t914 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t913 t255))
% 10.63/11.14  (step t915 (cl) :rule resolution :premises (t108 t116 t864 t870 t875 t880 t885 t890 t863 t234 t360 t898 t906 t245 t256 t264 t914 t280 t288 t296))
% 10.63/11.14  
% 10.63/11.14  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.HGo3zicomQ/cvc5---1.0.5_18849.smt2
% 10.63/11.14  % cvc5---1.0.5 exiting
% 10.63/11.14  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------