%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP319-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n002.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 16:54:18 EDT 2024

% Result   : Unsatisfiable 10.76s 11.09s
% Output   : Proof 11.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16  % Problem    : GRP319-1 : TPTP v8.2.0. Released v2.5.0.
% 0.17/0.17  % Command    : do_cvc5 %s %d
% 0.17/0.41  % Computer : n002.cluster.edu
% 0.17/0.41  % Model    : x86_64 x86_64
% 0.17/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41  % Memory   : 8042.1875MB
% 0.17/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.41  % CPULimit   : 300
% 0.17/0.41  % WCLimit    : 300
% 0.17/0.41  % DateTime   : Sun May 26 19:19:54 EDT 2024
% 0.17/0.41  % CPUTime    : 
% 0.40/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.40/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.71/10.94  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.76/11.09  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.lt6oykTNNs/cvc5---1.0.5_4079.smt2
% 10.76/11.09  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.lt6oykTNNs/cvc5---1.0.5_4079.smt2
% 11.09/11.30  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.09/11.30  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.09/11.30  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.30  (assume a3 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a4 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a5 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a6 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a7 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a8 (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a9 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a10 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a11 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a12 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a13 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a14 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a15 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a16 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a17 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a18 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a19 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a20 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a21 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a22 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a23 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a24 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a25 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a26 (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a27 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a28 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a29 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a30 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a31 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a32 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a33 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)))
% 11.09/11.30  (assume a34 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)))
% 11.09/11.30  (assume a35 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.09/11.30  (assume a36 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.09/11.30  (assume a37 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.09/11.30  (assume a38 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)))
% 11.09/11.30  (assume a39 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)))))
% 11.09/11.30  (step t1 (cl (not (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule equiv_pos2)
% 11.09/11.30  (step t2 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule refl)
% 11.09/11.30  (step t3 (cl (= (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule refl)
% 11.09/11.30  (step t4 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule refl)
% 11.09/11.30  (step t5 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule refl)
% 11.09/11.30  (step t6 (cl (= (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule refl)
% 11.09/11.30  (step t7 (cl (= (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) true) (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv_simplify)
% 11.09/11.30  (step t8 (cl (not (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) true)) (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule equiv1 :premises (t7))
% 11.09/11.30  (step t9 (cl (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))))) :rule all_simplify)
% 11.09/11.30  (step t10 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule refl)
% 11.09/11.30  (step t11 (cl (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t12 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule cong :premises (t10 t11))
% 11.09/11.30  (step t13 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) true)) :rule all_simplify)
% 11.09/11.30  (step t14 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) true)) :rule trans :premises (t12 t13))
% 11.09/11.30  (step t15 (cl (= (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) true)) :rule trans :premises (t9 t14))
% 11.09/11.30  (step t16 (cl (= (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t8 t15))
% 11.09/11.30  (step t17 (cl (= (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule refl)
% 11.09/11.30  (step t18 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule refl)
% 11.09/11.30  (step t19 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule refl)
% 11.09/11.30  (step t20 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))))) :rule refl)
% 11.09/11.30  (step t21 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule refl)
% 11.09/11.30  (step t22 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule refl)
% 11.09/11.30  (step t23 (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)
% 11.09/11.30  (step t24 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule refl)
% 11.09/11.30  (step t25 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule refl)
% 11.09/11.30  (step t26 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule refl)
% 11.09/11.30  (step t27 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule refl)
% 11.09/11.30  (step t28 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule refl)
% 11.09/11.30  (step t29 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))))) :rule cong :premises (t2 t3 t4 t5 t6 t16 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28))
% 11.09/11.30  (step t30 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule and_neg)
% 11.09/11.30  (step t31 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t32)
% 11.09/11.30  (assume t32.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t32.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t32.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t32.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t32.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.09/11.30  (assume t32.a5 (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.30  (assume t32.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t32.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t32.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t32.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t32.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t32.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t32.a12 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.09/11.30  (assume t32.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t32.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.09/11.30  (assume t32.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t32.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t32.t1 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t32.t2)
% 11.09/11.30  (assume t32.t2.a0 (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.30  (assume t32.t2.a1 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t32.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t32.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t32.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t32.t2.a5 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t32.t2.a6 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t32.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t32.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t32.t2.a9 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t32.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t32.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t32.t2.a12 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t32.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t32.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.09/11.30  (assume t32.t2.a15 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.09/11.30  (assume t32.t2.a16 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.09/11.30  (step t32.t2.t1 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)) false) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule equiv_simplify)
% 11.09/11.30  (step t32.t2.t2 (cl (not (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)) false)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule equiv1 :premises (t32.t2.t1))
% 11.09/11.30  (step t32.t2.t3 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.09/11.30  (step t32.t2.t4 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4))) :rule refl)
% 11.09/11.30  (step t32.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t32.t2.t4 t32.t2.a6))
% 11.09/11.30  (step t32.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t32.t2.a7))
% 11.09/11.30  (step t32.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t32.t2.a8))
% 11.09/11.30  (step t32.t2.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t32.t2.t7))
% 11.09/11.30  (step t32.t2.t9 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t32.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t32.t2.t8 t32.t2.t9))
% 11.09/11.30  (step t32.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t32.t2.t10))
% 11.09/11.30  (step t32.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t32.t2.a2))
% 11.09/11.30  (step t32.t2.t13 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t32.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t32.t2.t12 t32.t2.t13))
% 11.09/11.30  (step t32.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule symm :premises (t32.t2.t14))
% 11.09/11.30  (step t32.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t32.t2.a1))
% 11.09/11.30  (step t32.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t32.t2.a2 t32.t2.t16))
% 11.09/11.30  (step t32.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t32.t2.t17))
% 11.09/11.30  (step t32.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t32.t2.a3))
% 11.09/11.30  (step t32.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t32.t2.t19 t32.t2.a1))
% 11.09/11.30  (step t32.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t32.t2.t20))
% 11.09/11.30  (step t32.t2.t22 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t32.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t32.t2.a9))
% 11.09/11.30  (step t32.t2.t24 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t32.t2.t23))
% 11.09/11.30  (step t32.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t32.t2.t6))
% 11.09/11.30  (step t32.t2.t26 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t32.t2.a5))
% 11.09/11.30  (step t32.t2.t27 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t32.t2.a6))
% 11.09/11.30  (step t32.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t32.t2.t26 t32.t2.t27))
% 11.09/11.30  (step t32.t2.t29 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule trans :premises (t32.t2.t24 t32.t2.t10 t32.t2.t25 t32.t2.t28))
% 11.09/11.30  (step t32.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule cong :premises (t32.t2.t22 t32.t2.t29))
% 11.09/11.30  (step t32.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t32.t2.t30))
% 11.09/11.30  (step t32.t2.t32 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t32.t2.a1 t32.t2.t15 t32.t2.t18 t32.t2.t21 t32.t2.a4 t32.t2.t31 t32.t2.t19))
% 11.09/11.30  (step t32.t2.t33 (cl (= tptp.identity tptp.sk_c8)) :rule symm :premises (t32.t2.t32))
% 11.09/11.30  (step t32.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t32.t2.t33 t32.t2.t9))
% 11.09/11.30  (step t32.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t32.t2.t5 t32.t2.t6 t32.t2.t11 t32.t2.t34))
% 11.09/11.30  (step t32.t2.t36 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule symm :premises (t32.t2.t35))
% 11.09/11.30  (step t32.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule symm :premises (t32.t2.t5))
% 11.09/11.30  (step t32.t2.t38 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule trans :premises (t32.t2.t26 t32.t2.t24 t32.t2.t10 t32.t2.t25 t32.t2.t37))
% 11.09/11.30  (step t32.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8) (tptp.inverse tptp.sk_c4))) :rule symm :premises (t32.t2.t38))
% 11.09/11.30  (step t32.t2.t40 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t32.t2.t9 t32.t2.t27))
% 11.09/11.30  (step t32.t2.t41 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t32.t2.t28))
% 11.09/11.30  (step t32.t2.t42 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t32.t2.t40 t32.t2.t41 t32.t2.t6 t32.t2.t11 t32.t2.t23 t32.t2.a5))
% 11.09/11.30  (step t32.t2.t43 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t32.t2.t42))
% 11.09/11.30  (step t32.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t32.t2.a16))
% 11.09/11.30  (step t32.t2.t45 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t32.t2.t44))
% 11.09/11.30  (step t32.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t32.t2.a11))
% 11.09/11.30  (step t32.t2.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t32.t2.t46))
% 11.09/11.30  (step t32.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t32.t2.a4))
% 11.09/11.30  (step t32.t2.t49 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t32.t2.a12))
% 11.09/11.30  (step t32.t2.t50 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t32.t2.t49))
% 11.09/11.30  (step t32.t2.t51 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t32.t2.a3 t32.t2.t30 t32.t2.t48 t32.t2.t20 t32.t2.t17 t32.t2.t14 t32.t2.t16 t32.t2.t50))
% 11.09/11.30  (step t32.t2.t52 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.09/11.30  (step t32.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t32.t2.t51 t32.t2.t52))
% 11.09/11.30  (step t32.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t32.t2.a13))
% 11.09/11.30  (step t32.t2.t55 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t32.t2.t47 t32.t2.t53 t32.t2.t54))
% 11.09/11.30  (step t32.t2.t56 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t32.t2.t55 t32.t2.t32))
% 11.09/11.30  (step t32.t2.t57 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t32.t2.t56))
% 11.09/11.30  (step t32.t2.t58 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t32.t2.a10))
% 11.09/11.30  (step t32.t2.t59 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t32.t2.a15))
% 11.09/11.30  (step t32.t2.t60 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t32.t2.t59))
% 11.09/11.30  (step t32.t2.t61 (cl (= tptp.identity (tptp.inverse tptp.sk_c6))) :rule trans :premises (t32.t2.a2 t32.t2.t57 t32.t2.t58 t32.t2.t60))
% 11.09/11.30  (step t32.t2.t62 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.09/11.30  (step t32.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t32.t2.t61 t32.t2.t62))
% 11.09/11.30  (step t32.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t32.t2.a14))
% 11.09/11.30  (step t32.t2.t65 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t32.t2.t45 t32.t2.t63 t32.t2.t64))
% 11.09/11.30  (step t32.t2.t66 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t32.t2.t65 t32.t2.t9))
% 11.09/11.30  (step t32.t2.t67 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t32.t2.t40))
% 11.09/11.30  (step t32.t2.t68 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule trans :premises (t32.t2.t66 t32.t2.t10 t32.t2.t25 t32.t2.t28 t32.t2.t67))
% 11.09/11.30  (step t32.t2.t69 (cl (= (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c6 tptp.sk_c9))) :rule symm :premises (t32.t2.t68))
% 11.09/11.30  (step t32.t2.t70 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.sk_c6 tptp.sk_c9))) :rule trans :premises (t32.t2.t36 t32.t2.t39 t32.t2.t43 t32.t2.t69))
% 11.09/11.30  (step t32.t2.t71 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t32.t2.t70))
% 11.09/11.30  (step t32.t2.t72 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t32.t2.t3 t32.t2.t71))
% 11.09/11.30  (step t32.t2.t73 (cl (= (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv_simplify)
% 11.09/11.30  (step t32.t2.t74 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule equiv2 :premises (t32.t2.t73))
% 11.09/11.30  (step t32.t2.t75 (cl (not (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule not_not)
% 11.09/11.30  (step t32.t2.t76 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule resolution :premises (t32.t2.t74 t32.t2.t75))
% 11.09/11.30  (step t32.t2.t77 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) false)) :rule resolution :premises (t32.t2.t76 t32.t2.a0))
% 11.09/11.30  (step t32.t2.t78 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)) false)) :rule trans :premises (t32.t2.t72 t32.t2.t77))
% 11.09/11.30  (step t32.t2.t79 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t32.t2.t2 t32.t2.t78))
% 11.09/11.30  (step t32.t2 (cl (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule subproof :discharge (t32.t2.a0 t32.t2.a1 t32.t2.a2 t32.t2.a3 t32.t2.a4 t32.t2.a5 t32.t2.a6 t32.t2.a7 t32.t2.a8 t32.t2.a9 t32.t2.a10 t32.t2.a11 t32.t2.a12 t32.t2.a13 t32.t2.a14 t32.t2.a15 t32.t2.a16))
% 11.09/11.30  (step t32.t3 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t32.t4 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t32.t5 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t32.t6 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t32.t7 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t32.t8 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t32.t9 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t32.t10 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t32.t11 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t32.t12 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t32.t13 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t32.t14 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t32.t15 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t32.t16 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t32.t17 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t32.t18 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t32.t19 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t32.t20 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t32.t2 t32.t3 t32.t4 t32.t5 t32.t6 t32.t7 t32.t8 t32.t9 t32.t10 t32.t11 t32.t12 t32.t13 t32.t14 t32.t15 t32.t16 t32.t17 t32.t18 t32.t19))
% 11.09/11.30  (step t32.t21 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule reordering :premises (t32.t20))
% 11.09/11.30  (step t32.t22 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule contraction :premises (t32.t21))
% 11.09/11.30  (step t32.t23 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t32.t1 t32.t22))
% 11.09/11.30  (step t32.t24 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t32.t25 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule resolution :premises (t32.t23 t32.t24))
% 11.09/11.30  (step t32.t26 (cl (=> (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule contraction :premises (t32.t25))
% 11.09/11.30  (step t32.t27 (cl (not (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule implies :premises (t32.t26))
% 11.09/11.30  (step t32.t28 (cl (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 11.09/11.30  (step t32.t29 (cl (and (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t32.t28 t32.a5 t32.a8 t32.a6 t32.a9 t32.a16 t32.a1 t32.a0 t32.a15 t32.a11 t32.a7 t32.a2 t32.a10 t32.a3 t32.a13 t32.a14 t32.a4 t32.a12))
% 11.09/11.30  (step t32.t30 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t32.t27 t32.t29))
% 11.09/11.30  (step t32 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule subproof :discharge (t32.a0 t32.a1 t32.a2 t32.a3 t32.a4 t32.a5 t32.a6 t32.a7 t32.a8 t32.a9 t32.a10 t32.a11 t32.a12 t32.a13 t32.a14 t32.a15 t32.a16))
% 11.09/11.30  (step t33 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t34 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t35 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t36 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t37 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t38 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t39 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t40 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t41 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t42 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t43 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t44 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t45 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t46 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t47 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.09/11.30  (step t48 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t49 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t50 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t32 t33 t34 t35 t36 t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49))
% 11.09/11.30  (step t51 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule reordering :premises (t50))
% 11.09/11.30  (step t52 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule contraction :premises (t51))
% 11.09/11.30  (step t53 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t31 t52))
% 11.09/11.30  (step t54 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t55 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule resolution :premises (t53 t54))
% 11.09/11.30  (step t56 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule contraction :premises (t55))
% 11.09/11.30  (step t57 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule implies :premises (t56))
% 11.09/11.30  (step t58 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t30 t57))
% 11.09/11.30  (step t59 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule or_neg)
% 11.09/11.30  (step t60 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 11.09/11.30  (step t61 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule or_neg)
% 11.09/11.30  (step t62 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule or_neg)
% 11.09/11.30  (step t63 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule or_neg)
% 11.09/11.30  (step t64 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule or_neg)
% 11.09/11.30  (step t65 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.09/11.30  (step t66 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule or_neg)
% 11.09/11.30  (step t67 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 11.09/11.30  (step t68 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))))) :rule or_neg)
% 11.09/11.30  (step t69 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule or_neg)
% 11.09/11.30  (step t70 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 11.09/11.30  (step t71 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 11.09/11.30  (step t72 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule or_neg)
% 11.09/11.30  (step t73 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule or_neg)
% 11.09/11.30  (step t74 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule or_neg)
% 11.09/11.30  (step t75 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule or_neg)
% 11.09/11.30  (step t76 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule or_neg)
% 11.09/11.30  (step t77 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule resolution :premises (t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76))
% 11.09/11.30  (step t78 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule contraction :premises (t77))
% 11.09/11.30  (step t79 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule resolution :premises (t1 t29 t78))
% 11.09/11.30  (step t80 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule or :premises (t79))
% 11.09/11.30  (step t81 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t80))
% 11.09/11.30  (step t82 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.30  (step t83 (cl (= (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t84 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t85 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))))) :rule cong :premises (t83 t84))
% 11.09/11.30  (step t86 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9)))) :rule resolution :premises (t82 t85 a8))
% 11.09/11.30  (step t87 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) :rule or :premises (t86))
% 11.09/11.30  (step t88 (cl (not (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))))) (not (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))) :rule equiv_pos2)
% 11.09/11.30  (anchor :step t89 :args ((X4 $$unsorted) (:= X4 X4) (X5 $$unsorted) (:= X5 X5) (X6 $$unsorted) (:= X6 X6) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2) (X3 $$unsorted) (:= X3 X3)))
% 11.09/11.30  (step t89.t1 (cl (= X4 X4)) :rule refl)
% 11.09/11.30  (step t89.t2 (cl (= X5 X5)) :rule refl)
% 11.09/11.30  (step t89.t3 (cl (= X6 X6)) :rule refl)
% 11.09/11.30  (step t89.t4 (cl (= X1 X1)) :rule refl)
% 11.09/11.30  (step t89.t5 (cl (= X2 X2)) :rule refl)
% 11.09/11.30  (step t89.t6 (cl (= X3 X3)) :rule refl)
% 11.09/11.30  (step t89.t7 (cl (= (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule cong :premises (t83))
% 11.09/11.30  (step t89.t8 (cl (= (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8)))) :rule all_simplify)
% 11.09/11.30  (step t89.t9 (cl (= (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))))) :rule cong :premises (t89.t8))
% 11.09/11.30  (step t89.t10 (cl (= (= (tptp.inverse X4) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X4)))) :rule all_simplify)
% 11.09/11.30  (step t89.t11 (cl (= (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X4))))) :rule cong :premises (t89.t10))
% 11.09/11.30  (step t89.t12 (cl (= (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5)))) :rule all_simplify)
% 11.09/11.30  (step t89.t13 (cl (= (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))))) :rule cong :premises (t89.t12))
% 11.09/11.30  (step t89.t14 (cl (= (= (tptp.multiply X6 tptp.sk_c9) X5) (= X5 (tptp.multiply X6 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t89.t15 (cl (= (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= X5 (tptp.multiply X6 tptp.sk_c9))))) :rule cong :premises (t89.t14))
% 11.09/11.30  (step t89.t16 (cl (= (= (tptp.inverse X6) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse X6)))) :rule all_simplify)
% 11.09/11.30  (step t89.t17 (cl (= (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.inverse X6))))) :rule cong :premises (t89.t16))
% 11.09/11.30  (step t89.t18 (cl (= (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t89.t19 (cl (= (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))))) :rule cong :premises (t89.t18))
% 11.09/11.30  (step t89.t20 (cl (= (= (tptp.inverse X1) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse X1)))) :rule all_simplify)
% 11.09/11.30  (step t89.t21 (cl (= (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.inverse X1))))) :rule cong :premises (t89.t20))
% 11.09/11.30  (step t89.t22 (cl (= (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8)))) :rule all_simplify)
% 11.09/11.30  (step t89.t23 (cl (= (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))))) :rule cong :premises (t89.t22))
% 11.09/11.30  (step t89.t24 (cl (= (= (tptp.inverse X2) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X2)))) :rule all_simplify)
% 11.09/11.30  (step t89.t25 (cl (= (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X2))))) :rule cong :premises (t89.t24))
% 11.09/11.30  (step t89.t26 (cl (= (= (tptp.inverse X3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X3)))) :rule all_simplify)
% 11.09/11.30  (step t89.t27 (cl (= (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X3))))) :rule cong :premises (t89.t26))
% 11.09/11.30  (step t89.t28 (cl (= (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t89.t29 (cl (= (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) :rule cong :premises (t89.t28))
% 11.09/11.30  (step t89.t30 (cl (= (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) :rule cong :premises (t89.t7 t89.t9 t89.t11 t89.t13 t89.t15 t89.t17 t89.t19 t89.t21 t89.t23 t89.t25 t89.t27 t89.t29))
% 11.09/11.30  (step t89 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))) :rule bind)
% 11.09/11.30  (step t90 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))))) :rule all_simplify)
% 11.09/11.30  (step t91 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule refl)
% 11.09/11.30  (step t92 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))) :rule refl)
% 11.09/11.30  (step t93 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) :rule all_simplify)
% 11.09/11.30  (anchor :step t94 :args ((X6 $$unsorted) (:= X6 X6)))
% 11.09/11.30  (step t94.t1 (cl (= X6 X6)) :rule refl)
% 11.09/11.30  (step t94.t2 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))))) :rule refl)
% 11.09/11.30  (step t94.t3 (cl (= (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9)) true)) :rule all_simplify)
% 11.09/11.30  (step t94.t4 (cl (= (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) (not true))) :rule cong :premises (t94.t3))
% 11.09/11.30  (step t94.t5 (cl (= (not true) false)) :rule all_simplify)
% 11.09/11.30  (step t94.t6 (cl (= (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) false)) :rule trans :premises (t94.t4 t94.t5))
% 11.09/11.30  (step t94.t7 (cl (= (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c9 (tptp.inverse X6))))) :rule refl)
% 11.09/11.30  (step t94.t8 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) false (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule cong :premises (t94.t2 t94.t6 t94.t7))
% 11.09/11.30  (step t94.t9 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) false (not (= tptp.sk_c9 (tptp.inverse X6)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule all_simplify)
% 11.09/11.30  (step t94.t10 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule trans :premises (t94.t8 t94.t9))
% 11.09/11.30  (step t94 (cl (= (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= (tptp.multiply X6 tptp.sk_c9) (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) :rule bind)
% 11.09/11.30  (step t95 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) :rule trans :premises (t93 t94))
% 11.09/11.30  (step t96 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))))) :rule refl)
% 11.09/11.30  (step t97 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) :rule refl)
% 11.09/11.30  (step t98 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))) :rule refl)
% 11.09/11.30  (step t99 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X5 $$unsorted) (X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))))) :rule cong :premises (t91 t92 t95 t96 t97 t98))
% 11.09/11.30  (step t100 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 X5))) (not (= X5 (tptp.multiply X6 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))))) :rule trans :premises (t90 t99))
% 11.09/11.30  (step t101 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c9) tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))))) :rule trans :premises (t89 t100))
% 11.09/11.30  (step t102 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))) :rule resolution :premises (t88 t101 a39))
% 11.09/11.30  (step t103 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) :rule or :premises (t102))
% 11.09/11.30  (step t104 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule reordering :premises (t103))
% 11.09/11.30  (step t105 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t106)
% 11.09/11.30  (assume t106.a0 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))
% 11.09/11.30  (step t106.t1 (cl (or (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X6 tptp.sk_c4)))
% 11.09/11.30  (step t106.t2 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t106.t1))
% 11.09/11.30  (step t106.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t106.t2 t106.a0))
% 11.09/11.30  (step t106 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t106.a0))
% 11.09/11.30  (step t107 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t105 t106))
% 11.09/11.30  (step t108 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 11.09/11.30  (step t109 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t107 t108))
% 11.09/11.30  (step t110 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t109))
% 11.09/11.30  (step t111 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t110))
% 11.09/11.30  (step t112 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t113)
% 11.09/11.30  (assume t113.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 11.09/11.30  (step t113.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))))) :rule forall_inst :args ((:= X2 (tptp.inverse tptp.sk_c4))))
% 11.09/11.30  (step t113.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) :rule or :premises (t113.t1))
% 11.09/11.30  (step t113.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t113.t2 t113.a0))
% 11.09/11.30  (step t113 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) :rule subproof :discharge (t113.a0))
% 11.09/11.30  (step t114 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t112 t113))
% 11.09/11.30  (step t115 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) (not (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))))) :rule implies_neg2)
% 11.09/11.30  (step t116 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))))) :rule resolution :premises (t114 t115))
% 11.09/11.30  (step t117 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))))) :rule contraction :premises (t116))
% 11.09/11.30  (step t118 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) :rule implies :premises (t117))
% 11.09/11.30  (step t119 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t120)
% 11.09/11.30  (assume t120.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))
% 11.09/11.30  (step t120.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule forall_inst :args ((:= X4 tptp.sk_c9)))
% 11.09/11.30  (step t120.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule or :premises (t120.t1))
% 11.09/11.30  (step t120.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t120.t2 t120.a0))
% 11.09/11.30  (step t120 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule subproof :discharge (t120.a0))
% 11.09/11.30  (step t121 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t119 t120))
% 11.09/11.30  (step t122 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule implies_neg2)
% 11.09/11.30  (step t123 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule resolution :premises (t121 t122))
% 11.09/11.30  (step t124 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule contraction :premises (t123))
% 11.09/11.30  (step t125 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule implies :premises (t124))
% 11.09/11.30  (step t126 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t127)
% 11.09/11.30  (assume t127.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))
% 11.09/11.30  (step t127.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule forall_inst :args ((:= X3 tptp.sk_c4)))
% 11.09/11.30  (step t127.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule or :premises (t127.t1))
% 11.09/11.30  (step t127.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t127.t2 t127.a0))
% 11.09/11.30  (step t127 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule subproof :discharge (t127.a0))
% 11.09/11.30  (step t128 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t126 t127))
% 11.09/11.30  (step t129 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule implies_neg2)
% 11.09/11.30  (step t130 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule resolution :premises (t128 t129))
% 11.09/11.30  (step t131 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule contraction :premises (t130))
% 11.09/11.30  (step t132 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies :premises (t131))
% 11.09/11.30  (step t133 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 11.09/11.30  (step t134 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t133))
% 11.09/11.30  (step t135 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule or_pos)
% 11.09/11.30  (step t136 (cl (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (not (or (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))))) :rule reordering :premises (t135))
% 11.09/11.30  (step t137 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule or_pos)
% 11.09/11.30  (step t138 (cl (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule reordering :premises (t137))
% 11.09/11.30  (step t139 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule or_pos)
% 11.09/11.30  (step t140 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule reordering :premises (t139))
% 11.09/11.30  (step t141 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t142)
% 11.09/11.30  (assume t142.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))))
% 11.09/11.30  (step t142.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X1 tptp.sk_c4)))
% 11.09/11.30  (step t142.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t142.t1))
% 11.09/11.30  (step t142.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t142.t2 t142.a0))
% 11.09/11.30  (step t142 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t142.a0))
% 11.09/11.30  (step t143 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t141 t142))
% 11.09/11.30  (step t144 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 11.09/11.30  (step t145 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t143 t144))
% 11.09/11.30  (step t146 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t145))
% 11.09/11.30  (step t147 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t146))
% 11.09/11.30  (step t148 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule and_neg)
% 11.09/11.30  (step t149 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t150)
% 11.09/11.30  (assume t150.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t150.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t150.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t150.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t150.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t150.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t150.a6 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t150.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t150.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t150.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t150.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t150.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t150.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t150.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t150.t1 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t150.t2)
% 11.09/11.30  (assume t150.t2.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t150.t2.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t150.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t150.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t150.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t150.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t150.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t150.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t150.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t150.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t150.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t150.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t150.t2.a12 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t150.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (step t150.t2.t1 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t150.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t150.t2.a8 t150.t2.t1))
% 11.09/11.30  (step t150.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t150.t2.a8))
% 11.09/11.30  (step t150.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t150.t2.t3 t150.t2.a7))
% 11.09/11.30  (step t150.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t150.t2.a7))
% 11.09/11.30  (step t150.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t150.t2.a4 t150.t2.t5))
% 11.09/11.30  (step t150.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t150.t2.a6))
% 11.09/11.30  (step t150.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t150.t2.t7))
% 11.09/11.30  (step t150.t2.t9 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t150.t2.t10 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t150.t2.a1))
% 11.09/11.30  (step t150.t2.t11 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t150.t2.a0))
% 11.09/11.30  (step t150.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t150.t2.t10 t150.t2.t11))
% 11.09/11.30  (step t150.t2.t13 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t150.t2.t12))
% 11.09/11.30  (step t150.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t150.t2.a2))
% 11.09/11.30  (step t150.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t150.t2.a3))
% 11.09/11.30  (step t150.t2.t16 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t150.t2.t15))
% 11.09/11.30  (step t150.t2.t17 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t150.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t150.t2.t16 t150.t2.t17))
% 11.09/11.30  (step t150.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t150.t2.t18))
% 11.09/11.30  (step t150.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t150.t2.a5))
% 11.09/11.30  (step t150.t2.t21 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t150.t2.t20))
% 11.09/11.30  (step t150.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t150.t2.t21))
% 11.09/11.30  (step t150.t2.t23 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c9)) :rule trans :premises (t150.t2.t13 t150.t2.t14 t150.t2.t19 t150.t2.t22))
% 11.09/11.30  (step t150.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t150.t2.t9 t150.t2.t23))
% 11.09/11.30  (step t150.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t150.t2.a4))
% 11.09/11.30  (step t150.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t150.t2.a13))
% 11.09/11.30  (step t150.t2.t27 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t150.t2.t26))
% 11.09/11.30  (step t150.t2.t28 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t150.t2.a12))
% 11.09/11.30  (step t150.t2.t29 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t150.t2.t28))
% 11.09/11.30  (step t150.t2.t30 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t150.t2.t29))
% 11.09/11.30  (step t150.t2.t31 (cl (= (tptp.inverse tptp.sk_c5) tptp.identity)) :rule trans :premises (t150.t2.t30 t150.t2.a7 t150.t2.t2 t150.t2.t4 t150.t2.t6 t150.t2.t8 t150.t2.t24 t150.t2.t25))
% 11.09/11.30  (step t150.t2.t32 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.09/11.30  (step t150.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t150.t2.t31 t150.t2.t32))
% 11.09/11.30  (step t150.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t150.t2.a11))
% 11.09/11.30  (step t150.t2.t35 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t150.t2.t34))
% 11.09/11.30  (step t150.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t150.t2.t35))
% 11.09/11.30  (step t150.t2.t37 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t150.t2.t27 t150.t2.t33 t150.t2.t36))
% 11.09/11.30  (step t150.t2.t38 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t150.t2.a7 t150.t2.t2 t150.t2.t4 t150.t2.t6 t150.t2.t8 t150.t2.t24 t150.t2.t25))
% 11.09/11.30  (step t150.t2.t39 (cl (= tptp.identity tptp.sk_c8)) :rule symm :premises (t150.t2.t38))
% 11.09/11.30  (step t150.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule cong :premises (t150.t2.t37 t150.t2.t39))
% 11.09/11.30  (step t150.t2.t41 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t150.t2.a10))
% 11.09/11.30  (step t150.t2.t42 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t150.t2.t41))
% 11.09/11.30  (step t150.t2.t43 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t150.t2.t42))
% 11.09/11.30  (step t150.t2.t44 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t150.t2.a9))
% 11.09/11.30  (step t150.t2.t45 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t150.t2.t44))
% 11.09/11.30  (step t150.t2.t46 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t150.t2.t38 t150.t2.t17))
% 11.09/11.30  (step t150.t2.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t150.t2.t14))
% 11.09/11.30  (step t150.t2.t48 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t150.t2.t11))
% 11.09/11.30  (step t150.t2.t49 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t150.t2.t17 t150.t2.t48))
% 11.09/11.30  (step t150.t2.t50 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule trans :premises (t150.t2.a7 t150.t2.t2 t150.t2.t4 t150.t2.t6 t150.t2.t8 t150.t2.t24 t150.t2.t25 t150.t2.a8 t150.t2.t40 t150.t2.t43 t150.t2.t45 t150.t2.t46 t150.t2.t18 t150.t2.t47 t150.t2.t12 t150.t2.t49))
% 11.09/11.30  (step t150.t2 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t150.t2.a0 t150.t2.a1 t150.t2.a2 t150.t2.a3 t150.t2.a4 t150.t2.a5 t150.t2.a6 t150.t2.a7 t150.t2.a8 t150.t2.a9 t150.t2.a10 t150.t2.a11 t150.t2.a12 t150.t2.a13))
% 11.09/11.30  (step t150.t3 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t150.t4 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t150.t5 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t150.t6 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t150.t7 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t150.t8 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t150.t9 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t150.t10 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t150.t11 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t150.t12 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t150.t13 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t150.t14 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t150.t15 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t150.t16 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t150.t17 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule resolution :premises (t150.t2 t150.t3 t150.t4 t150.t5 t150.t6 t150.t7 t150.t8 t150.t9 t150.t10 t150.t11 t150.t12 t150.t13 t150.t14 t150.t15 t150.t16))
% 11.09/11.30  (step t150.t18 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule reordering :premises (t150.t17))
% 11.09/11.30  (step t150.t19 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t150.t18))
% 11.09/11.30  (step t150.t20 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t150.t1 t150.t19))
% 11.09/11.30  (step t150.t21 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t150.t22 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t150.t20 t150.t21))
% 11.09/11.30  (step t150.t23 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t150.t22))
% 11.09/11.30  (step t150.t24 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t150.t23))
% 11.09/11.30  (step t150.t25 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule and_neg)
% 11.09/11.30  (step t150.t26 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t150.t25 t150.a1 t150.a2 t150.a12 t150.a10 t150.a8 t150.a6 t150.a13 t150.a7 t150.a5 t150.a0 t150.a3 t150.a9 t150.a4 t150.a11))
% 11.09/11.30  (step t150.t27 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t150.t24 t150.t26))
% 11.09/11.30  (step t150 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t150.a0 t150.a1 t150.a2 t150.a3 t150.a4 t150.a5 t150.a6 t150.a7 t150.a8 t150.a9 t150.a10 t150.a11 t150.a12 t150.a13))
% 11.09/11.30  (step t151 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t152 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t153 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t154 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t155 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t156 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t157 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t158 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t159 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t160 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t161 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t162 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t163 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t164 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t165 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t150 t151 t152 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163 t164))
% 11.09/11.30  (step t166 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule reordering :premises (t165))
% 11.09/11.30  (step t167 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t166))
% 11.09/11.30  (step t168 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t149 t167))
% 11.09/11.30  (step t169 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t170 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t168 t169))
% 11.09/11.30  (step t171 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t170))
% 11.09/11.30  (step t172 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t171))
% 11.09/11.30  (step t173 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t148 t172))
% 11.09/11.30  (step t174 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t173))
% 11.09/11.30  (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t176)
% 11.09/11.30  (assume t176.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.30  (step t176.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c9)) (:= Y tptp.sk_c9) (:= Z tptp.sk_c8)))
% 11.09/11.30  (step t176.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule or :premises (t176.t1))
% 11.09/11.30  (step t176.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t176.t2 t176.a0))
% 11.09/11.30  (step t176 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule subproof :discharge (t176.a0))
% 11.09/11.30  (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t175 t176))
% 11.09/11.30  (step t178 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg2)
% 11.09/11.30  (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule resolution :premises (t177 t178))
% 11.09/11.30  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule contraction :premises (t179))
% 11.09/11.30  (step t181 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies :premises (t180))
% 11.09/11.30  (step t182 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t181 a2))
% 11.09/11.30  (step t183 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t184)
% 11.09/11.30  (assume t184.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.30  (step t184.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z tptp.sk_c9)))
% 11.09/11.30  (step t184.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule or :premises (t184.t1))
% 11.09/11.30  (step t184.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t184.t2 t184.a0))
% 11.09/11.30  (step t184 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t184.a0))
% 11.09/11.30  (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t183 t184))
% 11.09/11.30  (step t186 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t185 t186))
% 11.09/11.30  (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t187))
% 11.09/11.30  (step t189 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t188))
% 11.09/11.30  (step t190 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t189 a2))
% 11.09/11.30  (step t191 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t192)
% 11.09/11.30  (assume t192.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.30  (step t192.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.09/11.30  (step t192.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t192.t1))
% 11.09/11.30  (step t192.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t192.t2 t192.a0))
% 11.09/11.30  (step t192 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t192.a0))
% 11.09/11.30  (step t193 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t191 t192))
% 11.09/11.30  (step t194 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 11.09/11.30  (step t195 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t193 t194))
% 11.09/11.30  (step t196 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t195))
% 11.09/11.30  (step t197 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t196))
% 11.09/11.30  (step t198 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.09/11.30  (anchor :step t199 :args ((X $$unsorted) (:= X X)))
% 11.09/11.30  (step t199.t1 (cl (= X X)) :rule refl)
% 11.09/11.30  (step t199.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.09/11.30  (step t199 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 11.09/11.30  (step t200 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t198 t199 a1))
% 11.09/11.30  (step t201 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t197 t200))
% 11.09/11.30  (step t202 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t203)
% 11.09/11.30  (assume t203.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.30  (step t203.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.09/11.30  (step t203.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t203.t1))
% 11.09/11.30  (step t203.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t203.t2 t203.a0))
% 11.09/11.30  (step t203 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t203.a0))
% 11.09/11.30  (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t202 t203))
% 11.09/11.30  (step t205 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 11.09/11.30  (step t206 (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 (t204 t205))
% 11.09/11.30  (step t207 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t206))
% 11.09/11.30  (step t208 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t207))
% 11.09/11.30  (step t209 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t208 t200))
% 11.09/11.30  (step t210 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t211)
% 11.09/11.30  (assume t211.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.30  (step t211.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.09/11.30  (step t211.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t211.t1))
% 11.09/11.30  (step t211.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t211.t2 t211.a0))
% 11.09/11.30  (step t211 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t211.a0))
% 11.09/11.30  (step t212 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t210 t211))
% 11.09/11.30  (step t213 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 11.09/11.30  (step t214 (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 (t212 t213))
% 11.09/11.30  (step t215 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t214))
% 11.09/11.30  (step t216 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t215))
% 11.09/11.30  (step t217 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.09/11.30  (anchor :step t218 :args ((X $$unsorted) (:= X X)))
% 11.09/11.30  (step t218.t1 (cl (= X X)) :rule refl)
% 11.09/11.30  (step t218.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.09/11.30  (step t218 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.09/11.30  (step t219 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t217 t218 a0))
% 11.09/11.30  (step t220 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t216 t219))
% 11.09/11.30  (step t221 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t222)
% 11.09/11.30  (assume t222.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.30  (step t222.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule forall_inst :args ((:= X tptp.sk_c9)))
% 11.09/11.30  (step t222.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule or :premises (t222.t1))
% 11.09/11.30  (step t222.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t222.t2 t222.a0))
% 11.09/11.30  (step t222 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule subproof :discharge (t222.a0))
% 11.09/11.30  (step t223 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t221 t222))
% 11.09/11.30  (step t224 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t225 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule resolution :premises (t223 t224))
% 11.09/11.30  (step t226 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule contraction :premises (t225))
% 11.09/11.30  (step t227 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule implies :premises (t226))
% 11.09/11.30  (step t228 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t227 t200))
% 11.09/11.30  (step t229 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t230)
% 11.09/11.30  (assume t230.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.30  (step t230.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.09/11.30  (step t230.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t230.t1))
% 11.09/11.30  (step t230.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t230.t2 t230.a0))
% 11.09/11.30  (step t230 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t230.a0))
% 11.09/11.30  (step t231 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t229 t230))
% 11.09/11.30  (step t232 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t233 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t231 t232))
% 11.09/11.30  (step t234 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t233))
% 11.09/11.30  (step t235 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t234))
% 11.09/11.30  (step t236 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t235 t219))
% 11.09/11.30  (step t237 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t238)
% 11.09/11.30  (assume t238.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.30  (step t238.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule forall_inst :args ((:= X tptp.sk_c9)))
% 11.09/11.30  (step t238.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule or :premises (t238.t1))
% 11.09/11.30  (step t238.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t238.t2 t238.a0))
% 11.09/11.30  (step t238 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule subproof :discharge (t238.a0))
% 11.09/11.30  (step t239 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t237 t238))
% 11.09/11.30  (step t240 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t241 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t239 t240))
% 11.09/11.30  (step t242 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule contraction :premises (t241))
% 11.09/11.30  (step t243 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule implies :premises (t242))
% 11.09/11.30  (step t244 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t243 t219))
% 11.09/11.30  (step t245 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t246)
% 11.09/11.30  (assume t246.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.30  (step t246.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.09/11.30  (step t246.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t246.t1))
% 11.09/11.30  (step t246.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t246.t2 t246.a0))
% 11.09/11.30  (step t246 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t246.a0))
% 11.09/11.30  (step t247 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t245 t246))
% 11.09/11.30  (step t248 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.09/11.30  (step t249 (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 (t247 t248))
% 11.09/11.30  (step t250 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t249))
% 11.09/11.30  (step t251 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t250))
% 11.09/11.30  (step t252 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t251 t219))
% 11.09/11.30  (step t253 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t254)
% 11.09/11.30  (assume t254.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t254.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t254.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t254.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t254.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t254.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t254.a6 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t254.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t254.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t254.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t254.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t254.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t254.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t254.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t254.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t254.t2)
% 11.09/11.30  (assume t254.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t254.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t254.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t254.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t254.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t254.t2.a5 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t254.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t254.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t254.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t254.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t254.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t254.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t254.t2.a12 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t254.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (step t254.t2.t1 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t254.t2.a12))
% 11.09/11.30  (step t254.t2.t2 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t254.t2.t1))
% 11.09/11.30  (step t254.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t254.t2.a13))
% 11.09/11.30  (step t254.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t254.t2.t3))
% 11.09/11.30  (step t254.t2.t5 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t254.t2.t2))
% 11.09/11.30  (step t254.t2.t6 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t254.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t254.t2.a8 t254.t2.t6))
% 11.09/11.30  (step t254.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t254.t2.a8))
% 11.09/11.30  (step t254.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t254.t2.t8 t254.t2.a7))
% 11.09/11.30  (step t254.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t254.t2.a7))
% 11.09/11.30  (step t254.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t254.t2.a2 t254.t2.t10))
% 11.09/11.30  (step t254.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t254.t2.a6))
% 11.09/11.30  (step t254.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t254.t2.t12))
% 11.09/11.30  (step t254.t2.t14 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t254.t2.t15 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t254.t2.a0))
% 11.09/11.30  (step t254.t2.t16 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t254.t2.t15))
% 11.09/11.30  (step t254.t2.t17 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t254.t2.a5))
% 11.09/11.30  (step t254.t2.t18 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t254.t2.t17))
% 11.09/11.30  (step t254.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t254.t2.t16 t254.t2.t18))
% 11.09/11.30  (step t254.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t254.t2.a4))
% 11.09/11.30  (step t254.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t254.t2.t20))
% 11.09/11.30  (step t254.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t254.t2.t21))
% 11.09/11.30  (step t254.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t254.t2.a3))
% 11.09/11.30  (step t254.t2.t24 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t254.t2.t23))
% 11.09/11.30  (step t254.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t254.t2.t24))
% 11.09/11.30  (step t254.t2.t26 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t254.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t254.t2.t25 t254.t2.t26))
% 11.09/11.30  (step t254.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t254.t2.a1))
% 11.09/11.30  (step t254.t2.t29 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t254.t2.t28))
% 11.09/11.30  (step t254.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t254.t2.t29))
% 11.09/11.30  (step t254.t2.t31 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c9)) :rule trans :premises (t254.t2.t19 t254.t2.t22 t254.t2.t27 t254.t2.t30))
% 11.09/11.30  (step t254.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t254.t2.t14 t254.t2.t31))
% 11.09/11.30  (step t254.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t254.t2.a2))
% 11.09/11.30  (step t254.t2.t34 (cl (= (tptp.inverse tptp.sk_c5) tptp.identity)) :rule trans :premises (t254.t2.t5 t254.t2.a7 t254.t2.t7 t254.t2.t9 t254.t2.t11 t254.t2.t13 t254.t2.t32 t254.t2.t33))
% 11.09/11.30  (step t254.t2.t35 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.09/11.30  (step t254.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t254.t2.t34 t254.t2.t35))
% 11.09/11.30  (step t254.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t254.t2.a11))
% 11.09/11.30  (step t254.t2.t38 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t254.t2.t37))
% 11.09/11.30  (step t254.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t254.t2.t38))
% 11.09/11.30  (step t254.t2.t40 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t254.t2.t4 t254.t2.t36 t254.t2.t39))
% 11.09/11.30  (step t254.t2.t41 (cl (= tptp.sk_c5 tptp.identity)) :rule symm :premises (t254.t2.t40))
% 11.09/11.30  (step t254.t2.t42 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.identity))) :rule cong :premises (t254.t2.t41))
% 11.09/11.30  (step t254.t2.t43 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t254.t2.a7 t254.t2.t7 t254.t2.t9 t254.t2.t11 t254.t2.t13 t254.t2.t32 t254.t2.t33))
% 11.09/11.30  (step t254.t2.t44 (cl (= tptp.identity tptp.sk_c8)) :rule symm :premises (t254.t2.t43))
% 11.09/11.30  (step t254.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule cong :premises (t254.t2.t40 t254.t2.t44))
% 11.09/11.30  (step t254.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t254.t2.a10))
% 11.09/11.30  (step t254.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t254.t2.t46))
% 11.09/11.30  (step t254.t2.t48 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t254.t2.t47))
% 11.09/11.30  (step t254.t2.t49 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t254.t2.a9))
% 11.09/11.30  (step t254.t2.t50 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t254.t2.t49))
% 11.09/11.30  (step t254.t2.t51 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t254.t2.t43 t254.t2.t26))
% 11.09/11.30  (step t254.t2.t52 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t254.t2.a8 t254.t2.t45 t254.t2.t48 t254.t2.t50 t254.t2.t51 t254.t2.t30))
% 11.09/11.30  (step t254.t2.t53 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t254.t2.t52))
% 11.09/11.30  (step t254.t2.t54 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t254.t2.t16))
% 11.09/11.30  (step t254.t2.t55 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t254.t2.t2 t254.t2.t42 t254.t2.t53 t254.t2.t54))
% 11.09/11.30  (step t254.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t254.t2.a0 t254.t2.a1 t254.t2.a2 t254.t2.a3 t254.t2.a4 t254.t2.a5 t254.t2.a6 t254.t2.a7 t254.t2.a8 t254.t2.a9 t254.t2.a10 t254.t2.a11 t254.t2.a12 t254.t2.a13))
% 11.09/11.30  (step t254.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t254.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t254.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t254.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t254.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t254.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t254.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t254.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t254.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t254.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t254.t13 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t254.t14 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t254.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t254.t16 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t254.t17 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule resolution :premises (t254.t2 t254.t3 t254.t4 t254.t5 t254.t6 t254.t7 t254.t8 t254.t9 t254.t10 t254.t11 t254.t12 t254.t13 t254.t14 t254.t15 t254.t16))
% 11.09/11.30  (step t254.t18 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule reordering :premises (t254.t17))
% 11.09/11.30  (step t254.t19 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t254.t18))
% 11.09/11.30  (step t254.t20 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t254.t1 t254.t19))
% 11.09/11.30  (step t254.t21 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.09/11.30  (step t254.t22 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t254.t20 t254.t21))
% 11.09/11.30  (step t254.t23 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t254.t22))
% 11.09/11.30  (step t254.t24 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t254.t23))
% 11.09/11.30  (step t254.t25 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule and_neg)
% 11.09/11.30  (step t254.t26 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t254.t25 t254.a2 t254.a6 t254.a8 t254.a10 t254.a12 t254.a1 t254.a13 t254.a7 t254.a5 t254.a0 t254.a3 t254.a9 t254.a4 t254.a11))
% 11.09/11.30  (step t254.t27 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t254.t24 t254.t26))
% 11.09/11.30  (step t254 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t254.a0 t254.a1 t254.a2 t254.a3 t254.a4 t254.a5 t254.a6 t254.a7 t254.a8 t254.a9 t254.a10 t254.a11 t254.a12 t254.a13))
% 11.09/11.30  (step t255 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t256 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t257 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t258 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t259 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t260 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t261 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t262 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t263 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t264 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t265 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t266 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t267 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t268 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t269 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t254 t255 t256 t257 t258 t259 t260 t261 t262 t263 t264 t265 t266 t267 t268))
% 11.09/11.30  (step t270 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule reordering :premises (t269))
% 11.09/11.30  (step t271 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t270))
% 11.09/11.30  (step t272 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t253 t271))
% 11.09/11.30  (step t273 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.09/11.30  (step t274 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t272 t273))
% 11.09/11.30  (step t275 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t274))
% 11.09/11.30  (step t276 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t275))
% 11.09/11.30  (step t277 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t148 t276))
% 11.09/11.30  (step t278 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t277))
% 11.09/11.30  (step t279 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t280)
% 11.09/11.30  (assume t280.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t280.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t280.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t280.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t280.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t280.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t280.a6 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t280.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t280.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t280.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t280.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t280.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t280.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t280.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t280.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t280.t2)
% 11.09/11.30  (assume t280.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t280.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t280.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t280.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t280.t2.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t280.t2.a5 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t280.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t280.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t280.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t280.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t280.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t280.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t280.t2.a12 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t280.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (step t280.t2.t1 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t280.t2.a12))
% 11.09/11.30  (step t280.t2.t2 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t280.t2.t1))
% 11.09/11.30  (step t280.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t280.t2.a13))
% 11.09/11.30  (step t280.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t280.t2.t3))
% 11.09/11.30  (step t280.t2.t5 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t280.t2.t2))
% 11.09/11.30  (step t280.t2.t6 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t280.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t280.t2.a8 t280.t2.t6))
% 11.09/11.30  (step t280.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t280.t2.a8))
% 11.09/11.30  (step t280.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t280.t2.t8 t280.t2.a7))
% 11.09/11.30  (step t280.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t280.t2.a7))
% 11.09/11.30  (step t280.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t280.t2.a1 t280.t2.t10))
% 11.09/11.30  (step t280.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t280.t2.a6))
% 11.09/11.30  (step t280.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t280.t2.t12))
% 11.09/11.30  (step t280.t2.t14 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t280.t2.t15 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t280.t2.a4))
% 11.09/11.30  (step t280.t2.t16 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t280.t2.t15))
% 11.09/11.30  (step t280.t2.t17 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t280.t2.a5))
% 11.09/11.30  (step t280.t2.t18 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t280.t2.t17))
% 11.09/11.30  (step t280.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t280.t2.t16 t280.t2.t18))
% 11.09/11.30  (step t280.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t280.t2.a3))
% 11.09/11.30  (step t280.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t280.t2.t20))
% 11.09/11.30  (step t280.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t280.t2.t21))
% 11.09/11.30  (step t280.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t280.t2.a2))
% 11.09/11.30  (step t280.t2.t24 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t280.t2.t23))
% 11.09/11.30  (step t280.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t280.t2.t24))
% 11.09/11.30  (step t280.t2.t26 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t280.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t280.t2.t25 t280.t2.t26))
% 11.09/11.30  (step t280.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t280.t2.a0))
% 11.09/11.30  (step t280.t2.t29 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t280.t2.t28))
% 11.09/11.30  (step t280.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t280.t2.t29))
% 11.09/11.30  (step t280.t2.t31 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c9)) :rule trans :premises (t280.t2.t19 t280.t2.t22 t280.t2.t27 t280.t2.t30))
% 11.09/11.30  (step t280.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t280.t2.t14 t280.t2.t31))
% 11.09/11.30  (step t280.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t280.t2.a1))
% 11.09/11.30  (step t280.t2.t34 (cl (= (tptp.inverse tptp.sk_c5) tptp.identity)) :rule trans :premises (t280.t2.t5 t280.t2.a7 t280.t2.t7 t280.t2.t9 t280.t2.t11 t280.t2.t13 t280.t2.t32 t280.t2.t33))
% 11.09/11.30  (step t280.t2.t35 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.09/11.30  (step t280.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t280.t2.t34 t280.t2.t35))
% 11.09/11.30  (step t280.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t280.t2.a11))
% 11.09/11.30  (step t280.t2.t38 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t280.t2.t37))
% 11.09/11.30  (step t280.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t280.t2.t38))
% 11.09/11.30  (step t280.t2.t40 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t280.t2.t4 t280.t2.t36 t280.t2.t39))
% 11.09/11.30  (step t280.t2.t41 (cl (= tptp.sk_c5 tptp.identity)) :rule symm :premises (t280.t2.t40))
% 11.09/11.30  (step t280.t2.t42 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse tptp.identity))) :rule cong :premises (t280.t2.t41))
% 11.09/11.30  (step t280.t2.t43 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t280.t2.a7 t280.t2.t7 t280.t2.t9 t280.t2.t11 t280.t2.t13 t280.t2.t32 t280.t2.t33))
% 11.09/11.30  (step t280.t2.t44 (cl (= tptp.identity tptp.sk_c8)) :rule symm :premises (t280.t2.t43))
% 11.09/11.30  (step t280.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule cong :premises (t280.t2.t40 t280.t2.t44))
% 11.09/11.30  (step t280.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t280.t2.a10))
% 11.09/11.30  (step t280.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t280.t2.t46))
% 11.09/11.30  (step t280.t2.t48 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t280.t2.t47))
% 11.09/11.30  (step t280.t2.t49 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t280.t2.a9))
% 11.09/11.30  (step t280.t2.t50 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t280.t2.t49))
% 11.09/11.30  (step t280.t2.t51 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t280.t2.t43 t280.t2.t26))
% 11.09/11.30  (step t280.t2.t52 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t280.t2.a8 t280.t2.t45 t280.t2.t48 t280.t2.t50 t280.t2.t51 t280.t2.t30))
% 11.09/11.30  (step t280.t2.t53 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t280.t2.t52))
% 11.09/11.30  (step t280.t2.t54 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule trans :premises (t280.t2.t2 t280.t2.t42 t280.t2.t53))
% 11.09/11.30  (step t280.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t280.t2.a0 t280.t2.a1 t280.t2.a2 t280.t2.a3 t280.t2.a4 t280.t2.a5 t280.t2.a6 t280.t2.a7 t280.t2.a8 t280.t2.a9 t280.t2.a10 t280.t2.a11 t280.t2.a12 t280.t2.a13))
% 11.09/11.30  (step t280.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t280.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t280.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t280.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t280.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t280.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t280.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t280.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t280.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t280.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t280.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t280.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t280.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t280.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t280.t17 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule resolution :premises (t280.t2 t280.t3 t280.t4 t280.t5 t280.t6 t280.t7 t280.t8 t280.t9 t280.t10 t280.t11 t280.t12 t280.t13 t280.t14 t280.t15 t280.t16))
% 11.09/11.30  (step t280.t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t280.t17))
% 11.09/11.30  (step t280.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t280.t18))
% 11.09/11.30  (step t280.t20 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t280.t1 t280.t19))
% 11.09/11.30  (step t280.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t280.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t280.t20 t280.t21))
% 11.09/11.30  (step t280.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t280.t22))
% 11.09/11.30  (step t280.t24 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t280.t23))
% 11.09/11.30  (step t280.t25 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule and_neg)
% 11.09/11.30  (step t280.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t280.t25 t280.a6 t280.a8 t280.a10 t280.a12 t280.a2 t280.a1 t280.a13 t280.a7 t280.a5 t280.a0 t280.a3 t280.a9 t280.a4 t280.a11))
% 11.09/11.30  (step t280.t27 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t280.t24 t280.t26))
% 11.09/11.30  (step t280 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t280.a0 t280.a1 t280.a2 t280.a3 t280.a4 t280.a5 t280.a6 t280.a7 t280.a8 t280.a9 t280.a10 t280.a11 t280.a12 t280.a13))
% 11.09/11.30  (step t281 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t282 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t283 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t284 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t285 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t286 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t287 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t288 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t289 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t290 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t291 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t292 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t293 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t294 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t295 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t280 t281 t282 t283 t284 t285 t286 t287 t288 t289 t290 t291 t292 t293 t294))
% 11.09/11.30  (step t296 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t295))
% 11.09/11.30  (step t297 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t296))
% 11.09/11.30  (step t298 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t279 t297))
% 11.09/11.30  (step t299 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t300 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t298 t299))
% 11.09/11.30  (step t301 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t300))
% 11.09/11.30  (step t302 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t301))
% 11.09/11.30  (step t303 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t148 t302))
% 11.09/11.30  (step t304 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t303))
% 11.09/11.30  (step t305 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule and_neg)
% 11.09/11.30  (step t306 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t307)
% 11.09/11.30  (assume t307.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t307.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t307.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (assume t307.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t307.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t307.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t307.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t307.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t307.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t307.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t307.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t307.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t307.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t307.t1 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t307.t2)
% 11.09/11.30  (assume t307.t2.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t307.t2.a1 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t307.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t307.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t307.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t307.t2.a5 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t307.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t307.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t307.t2.a8 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t307.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.09/11.30  (assume t307.t2.a10 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.09/11.30  (assume t307.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.09/11.30  (assume t307.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.09/11.30  (step t307.t2.t1 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t307.t2.a12))
% 11.09/11.30  (step t307.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t307.t2.t1))
% 11.09/11.30  (step t307.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t307.t2.a11))
% 11.09/11.30  (step t307.t2.t4 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t307.t2.t3))
% 11.09/11.30  (step t307.t2.t5 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t307.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t307.t2.a8))
% 11.09/11.30  (step t307.t2.t7 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t307.t2.t6))
% 11.09/11.30  (step t307.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t307.t2.a7))
% 11.09/11.30  (step t307.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t307.t2.t8))
% 11.09/11.30  (step t307.t2.t10 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t307.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t307.t2.t9 t307.t2.t10))
% 11.09/11.30  (step t307.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t307.t2.a6))
% 11.09/11.30  (step t307.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t307.t2.t12))
% 11.09/11.30  (step t307.t2.t14 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t307.t2.a5))
% 11.09/11.30  (step t307.t2.t15 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t307.t2.a0))
% 11.09/11.30  (step t307.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t307.t2.t14 t307.t2.t15))
% 11.09/11.30  (step t307.t2.t17 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule trans :premises (t307.t2.t7 t307.t2.t11 t307.t2.t13 t307.t2.t16))
% 11.09/11.30  (step t307.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule cong :premises (t307.t2.t5 t307.t2.t17))
% 11.09/11.30  (step t307.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t307.t2.a4))
% 11.09/11.30  (step t307.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t307.t2.a3))
% 11.09/11.30  (step t307.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t307.t2.t20 t307.t2.a1))
% 11.09/11.30  (step t307.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t307.t2.a1))
% 11.09/11.30  (step t307.t2.t23 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t307.t2.a2 t307.t2.t22))
% 11.09/11.30  (step t307.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t307.t2.a2))
% 11.09/11.30  (step t307.t2.t25 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t307.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t307.t2.t24 t307.t2.t25))
% 11.09/11.30  (step t307.t2.t27 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t307.t2.a10))
% 11.09/11.30  (step t307.t2.t28 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t307.t2.t27))
% 11.09/11.30  (step t307.t2.t29 (cl (= tptp.identity (tptp.inverse tptp.sk_c5))) :rule trans :premises (t307.t2.a3 t307.t2.t18 t307.t2.t19 t307.t2.t21 t307.t2.t23 t307.t2.t26 t307.t2.t22 t307.t2.t28))
% 11.09/11.30  (step t307.t2.t30 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.09/11.30  (step t307.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t307.t2.t29 t307.t2.t30))
% 11.09/11.30  (step t307.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t307.t2.a9))
% 11.09/11.30  (step t307.t2.t33 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t307.t2.t4 t307.t2.t31 t307.t2.t32))
% 11.09/11.30  (step t307.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule symm :premises (t307.t2.t26))
% 11.09/11.30  (step t307.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t307.t2.t23))
% 11.09/11.30  (step t307.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t307.t2.t21))
% 11.09/11.30  (step t307.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t307.t2.t18))
% 11.09/11.30  (step t307.t2.t38 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t307.t2.a1 t307.t2.t34 t307.t2.t35 t307.t2.t36 t307.t2.a4 t307.t2.t37 t307.t2.t20))
% 11.09/11.30  (step t307.t2.t39 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t307.t2.t33 t307.t2.t38))
% 11.09/11.30  (step t307.t2.t40 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t307.t2.t15))
% 11.09/11.30  (step t307.t2.t41 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule trans :premises (t307.t2.t2 t307.t2.t39 t307.t2.t24 t307.t2.a3 t307.t2.t18 t307.t2.t19 t307.t2.t21 t307.t2.t23 t307.t2.t26 t307.t2.t22 t307.t2.t40))
% 11.09/11.30  (step t307.t2 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule subproof :discharge (t307.t2.a0 t307.t2.a1 t307.t2.a2 t307.t2.a3 t307.t2.a4 t307.t2.a5 t307.t2.a6 t307.t2.a7 t307.t2.a8 t307.t2.a9 t307.t2.a10 t307.t2.a11 t307.t2.a12))
% 11.09/11.30  (step t307.t3 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t307.t4 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t307.t5 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t307.t6 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t307.t7 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t307.t8 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t307.t9 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t307.t10 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t307.t11 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t307.t12 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t307.t13 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t307.t14 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t307.t15 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t307.t16 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule resolution :premises (t307.t2 t307.t3 t307.t4 t307.t5 t307.t6 t307.t7 t307.t8 t307.t9 t307.t10 t307.t11 t307.t12 t307.t13 t307.t14 t307.t15))
% 11.09/11.30  (step t307.t17 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule reordering :premises (t307.t16))
% 11.09/11.30  (step t307.t18 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule contraction :premises (t307.t17))
% 11.09/11.30  (step t307.t19 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule resolution :premises (t307.t1 t307.t18))
% 11.09/11.30  (step t307.t20 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t307.t21 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t307.t19 t307.t20))
% 11.09/11.30  (step t307.t22 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t307.t21))
% 11.09/11.30  (step t307.t23 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule implies :premises (t307.t22))
% 11.09/11.30  (step t307.t24 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_neg)
% 11.09/11.30  (step t307.t25 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t307.t24 t307.a0 t307.a6 t307.a4 t307.a7 t307.a12 t307.a1 t307.a11 t307.a9 t307.a5 t307.a10 t307.a3 t307.a8 t307.a2))
% 11.09/11.30  (step t307.t26 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule resolution :premises (t307.t23 t307.t25))
% 11.09/11.30  (step t307 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule subproof :discharge (t307.a0 t307.a1 t307.a2 t307.a3 t307.a4 t307.a5 t307.a6 t307.a7 t307.a8 t307.a9 t307.a10 t307.a11 t307.a12))
% 11.09/11.30  (step t308 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t309 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t310 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t311 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t312 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t313 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t314 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t315 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t316 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t317 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t318 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.09/11.30  (step t319 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t320 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t321 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t307 t308 t309 t310 t311 t312 t313 t314 t315 t316 t317 t318 t319 t320))
% 11.09/11.30  (step t322 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule reordering :premises (t321))
% 11.09/11.30  (step t323 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule contraction :premises (t322))
% 11.09/11.30  (step t324 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule resolution :premises (t306 t323))
% 11.09/11.30  (step t325 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.30  (step t326 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t324 t325))
% 11.09/11.30  (step t327 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t326))
% 11.09/11.30  (step t328 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule implies :premises (t327))
% 11.09/11.30  (step t329 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule resolution :premises (t305 t328))
% 11.09/11.30  (step t330 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.30  (step t331 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t332)
% 11.09/11.30  (assume t332.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t332.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t332.a2 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t332.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t332.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (step t332.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t332.t2)
% 11.09/11.30  (assume t332.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t332.t2.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t332.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t332.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t332.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (step t332.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t332.t2.a4))
% 11.09/11.30  (step t332.t2.t2 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t332.t2.t1))
% 11.09/11.30  (step t332.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t332.t2.a3))
% 11.09/11.30  (step t332.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t332.t2.t3))
% 11.09/11.30  (step t332.t2.t5 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t332.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t332.t2.t4 t332.t2.t5))
% 11.09/11.30  (step t332.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t332.t2.a2))
% 11.09/11.30  (step t332.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t332.t2.t7))
% 11.09/11.30  (step t332.t2.t9 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t332.t2.a0))
% 11.09/11.30  (step t332.t2.t10 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t332.t2.a1))
% 11.09/11.30  (step t332.t2.t11 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t332.t2.t10))
% 11.09/11.30  (step t332.t2.t12 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t332.t2.t11))
% 11.09/11.30  (step t332.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t332.t2.t9 t332.t2.t12))
% 11.09/11.30  (step t332.t2.t14 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule trans :premises (t332.t2.t2 t332.t2.t6 t332.t2.t8 t332.t2.t13))
% 11.09/11.30  (step t332.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule subproof :discharge (t332.t2.a0 t332.t2.a1 t332.t2.a2 t332.t2.a3 t332.t2.a4))
% 11.09/11.30  (step t332.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t332.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t332.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t332.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t332.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t332.t8 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t332.t2 t332.t3 t332.t4 t332.t5 t332.t6 t332.t7))
% 11.09/11.30  (step t332.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule reordering :premises (t332.t8))
% 11.09/11.30  (step t332.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule contraction :premises (t332.t9))
% 11.09/11.30  (step t332.t11 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t332.t1 t332.t10))
% 11.09/11.30  (step t332.t12 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t332.t13 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t332.t11 t332.t12))
% 11.09/11.30  (step t332.t14 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule contraction :premises (t332.t13))
% 11.09/11.30  (step t332.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule implies :premises (t332.t14))
% 11.09/11.30  (step t332.t16 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_neg)
% 11.09/11.30  (step t332.t17 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t332.t16 t332.a1 t332.a0 t332.a4 t332.a3 t332.a2))
% 11.09/11.30  (step t332.t18 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t332.t15 t332.t17))
% 11.09/11.30  (step t332 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule subproof :discharge (t332.a0 t332.a1 t332.a2 t332.a3 t332.a4))
% 11.09/11.30  (step t333 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t334 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t335 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t336 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t337 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t338 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))))) :rule resolution :premises (t332 t333 t334 t335 t336 t337))
% 11.09/11.30  (step t339 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule reordering :premises (t338))
% 11.09/11.30  (step t340 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule contraction :premises (t339))
% 11.09/11.30  (step t341 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t331 t340))
% 11.09/11.30  (step t342 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t343 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t341 t342))
% 11.09/11.30  (step t344 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule contraction :premises (t343))
% 11.09/11.30  (step t345 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule implies :premises (t344))
% 11.09/11.30  (step t346 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t330 t345))
% 11.09/11.30  (step t347 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule and_neg)
% 11.09/11.30  (step t348 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t349)
% 11.09/11.30  (assume t349.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t349.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t349.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t349.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t349.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t349.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t349.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t349.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t349.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t349.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t349.t1 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t349.t2)
% 11.09/11.30  (assume t349.t2.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t349.t2.a1 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t349.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t349.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t349.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t349.t2.a5 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t349.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t349.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t349.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t349.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (step t349.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t349.t2.a9))
% 11.09/11.30  (step t349.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t349.t2.t1))
% 11.09/11.30  (step t349.t2.t3 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t349.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t349.t2.a8 t349.t2.t3))
% 11.09/11.30  (step t349.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t349.t2.a8))
% 11.09/11.30  (step t349.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t349.t2.t5 t349.t2.a7))
% 11.09/11.30  (step t349.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t349.t2.a7))
% 11.09/11.30  (step t349.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t349.t2.a3 t349.t2.t7))
% 11.09/11.30  (step t349.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t349.t2.a6))
% 11.09/11.30  (step t349.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t349.t2.t9))
% 11.09/11.30  (step t349.t2.t11 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t349.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t349.t2.a5))
% 11.09/11.30  (step t349.t2.t13 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t349.t2.t12))
% 11.09/11.30  (step t349.t2.t14 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t349.t2.a0))
% 11.09/11.30  (step t349.t2.t15 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t349.t2.t14))
% 11.09/11.30  (step t349.t2.t16 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t349.t2.t13 t349.t2.t15))
% 11.09/11.30  (step t349.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t349.t2.a1))
% 11.09/11.30  (step t349.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t349.t2.a2))
% 11.09/11.30  (step t349.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t349.t2.t18))
% 11.09/11.30  (step t349.t2.t20 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t349.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule cong :premises (t349.t2.t19 t349.t2.t20))
% 11.09/11.30  (step t349.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t349.t2.t21))
% 11.09/11.30  (step t349.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t349.t2.a4))
% 11.09/11.30  (step t349.t2.t24 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t349.t2.t23))
% 11.09/11.30  (step t349.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t349.t2.t24))
% 11.09/11.30  (step t349.t2.t26 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c9)) :rule trans :premises (t349.t2.t16 t349.t2.t17 t349.t2.t22 t349.t2.t25))
% 11.09/11.30  (step t349.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t349.t2.t11 t349.t2.t26))
% 11.09/11.30  (step t349.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t349.t2.a3))
% 11.09/11.30  (step t349.t2.t29 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t349.t2.a7 t349.t2.t4 t349.t2.t6 t349.t2.t8 t349.t2.t10 t349.t2.t27 t349.t2.t28))
% 11.09/11.30  (step t349.t2.t30 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t349.t2.t29 t349.t2.t20))
% 11.09/11.30  (step t349.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t349.t2.t17))
% 11.09/11.30  (step t349.t2.t32 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4))) :rule refl)
% 11.09/11.30  (step t349.t2.t33 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t349.t2.t15))
% 11.09/11.30  (step t349.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule cong :premises (t349.t2.t32 t349.t2.t33))
% 11.09/11.30  (step t349.t2.t35 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule trans :premises (t349.t2.t2 t349.t2.t30 t349.t2.t21 t349.t2.t31 t349.t2.t34))
% 11.09/11.30  (step t349.t2 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule subproof :discharge (t349.t2.a0 t349.t2.a1 t349.t2.a2 t349.t2.a3 t349.t2.a4 t349.t2.a5 t349.t2.a6 t349.t2.a7 t349.t2.a8 t349.t2.a9))
% 11.09/11.30  (step t349.t3 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t349.t4 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t349.t5 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t349.t6 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t349.t7 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t349.t8 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t349.t9 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t349.t10 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t349.t11 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t349.t12 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t349.t13 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t349.t2 t349.t3 t349.t4 t349.t5 t349.t6 t349.t7 t349.t8 t349.t9 t349.t10 t349.t11 t349.t12))
% 11.09/11.30  (step t349.t14 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule reordering :premises (t349.t13))
% 11.09/11.30  (step t349.t15 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule contraction :premises (t349.t14))
% 11.09/11.30  (step t349.t16 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t349.t1 t349.t15))
% 11.09/11.30  (step t349.t17 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t349.t18 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule resolution :premises (t349.t16 t349.t17))
% 11.09/11.30  (step t349.t19 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule contraction :premises (t349.t18))
% 11.09/11.30  (step t349.t20 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule implies :premises (t349.t19))
% 11.09/11.30  (step t349.t21 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.30  (step t349.t22 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t349.t21 t349.a1 t349.a8 t349.a7 t349.a6 t349.a4 t349.a2 t349.a9 t349.a5 t349.a3 t349.a0))
% 11.09/11.30  (step t349.t23 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t349.t20 t349.t22))
% 11.09/11.30  (step t349 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule subproof :discharge (t349.a0 t349.a1 t349.a2 t349.a3 t349.a4 t349.a5 t349.a6 t349.a7 t349.a8 t349.a9))
% 11.09/11.30  (step t350 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t351 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t352 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t353 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t354 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t355 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t356 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t357 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t358 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t359 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t360 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t349 t350 t351 t352 t353 t354 t355 t356 t357 t358 t359))
% 11.09/11.30  (step t361 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule reordering :premises (t360))
% 11.09/11.30  (step t362 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule contraction :premises (t361))
% 11.09/11.30  (step t363 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t348 t362))
% 11.09/11.30  (step t364 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t365 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule resolution :premises (t363 t364))
% 11.09/11.30  (step t366 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule contraction :premises (t365))
% 11.09/11.30  (step t367 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule implies :premises (t366))
% 11.09/11.30  (step t368 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t347 t367))
% 11.09/11.30  (step t369 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule reordering :premises (t368))
% 11.09/11.30  (step t370 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t371)
% 11.09/11.30  (assume t371.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t371.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t371.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t371.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t371.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t371.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t371.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t371.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t371.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t371.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (step t371.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t371.t2)
% 11.09/11.30  (assume t371.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t371.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t371.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.09/11.30  (assume t371.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.30  (assume t371.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))))
% 11.09/11.30  (assume t371.t2.a5 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.30  (assume t371.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))
% 11.09/11.30  (assume t371.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t371.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t371.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (step t371.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t371.t2.a9))
% 11.09/11.30  (step t371.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t371.t2.t1))
% 11.09/11.30  (step t371.t2.t3 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t371.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t371.t2.a8 t371.t2.t3))
% 11.09/11.30  (step t371.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t371.t2.a8))
% 11.09/11.30  (step t371.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t371.t2.t5 t371.t2.a7))
% 11.09/11.30  (step t371.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t371.t2.a7))
% 11.09/11.30  (step t371.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule cong :premises (t371.t2.a2 t371.t2.t7))
% 11.09/11.30  (step t371.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8))) :rule symm :premises (t371.t2.a6))
% 11.09/11.30  (step t371.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule symm :premises (t371.t2.t9))
% 11.09/11.30  (step t371.t2.t11 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c9))) :rule refl)
% 11.09/11.30  (step t371.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t371.t2.a0))
% 11.09/11.30  (step t371.t2.t13 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t371.t2.t12))
% 11.09/11.30  (step t371.t2.t14 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t371.t2.a5))
% 11.09/11.30  (step t371.t2.t15 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t371.t2.t14))
% 11.09/11.30  (step t371.t2.t16 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t371.t2.t13 t371.t2.t15))
% 11.09/11.30  (step t371.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t371.t2.a4))
% 11.09/11.30  (step t371.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule symm :premises (t371.t2.t17))
% 11.09/11.30  (step t371.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9))) :rule symm :premises (t371.t2.t18))
% 11.09/11.30  (step t371.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t371.t2.a3))
% 11.09/11.30  (step t371.t2.t21 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t371.t2.t20))
% 11.09/11.30  (step t371.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t371.t2.t21))
% 11.09/11.30  (step t371.t2.t23 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t371.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t371.t2.t22 t371.t2.t23))
% 11.09/11.30  (step t371.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t371.t2.a1))
% 11.09/11.30  (step t371.t2.t26 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t371.t2.t25))
% 11.09/11.30  (step t371.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t371.t2.t26))
% 11.09/11.30  (step t371.t2.t28 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c9)) :rule trans :premises (t371.t2.t16 t371.t2.t19 t371.t2.t24 t371.t2.t27))
% 11.09/11.30  (step t371.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t371.t2.t11 t371.t2.t28))
% 11.09/11.30  (step t371.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t371.t2.a2))
% 11.09/11.30  (step t371.t2.t31 (cl (= tptp.sk_c8 tptp.identity)) :rule trans :premises (t371.t2.a7 t371.t2.t4 t371.t2.t6 t371.t2.t8 t371.t2.t10 t371.t2.t29 t371.t2.t30))
% 11.09/11.30  (step t371.t2.t32 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t371.t2.t31 t371.t2.t23))
% 11.09/11.30  (step t371.t2.t33 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t371.t2.t2 t371.t2.t32 t371.t2.t27 t371.t2.t13))
% 11.09/11.30  (step t371.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t371.t2.a0 t371.t2.a1 t371.t2.a2 t371.t2.a3 t371.t2.a4 t371.t2.a5 t371.t2.a6 t371.t2.a7 t371.t2.a8 t371.t2.a9))
% 11.09/11.30  (step t371.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t371.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t371.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t371.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t371.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t371.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t371.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t371.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t371.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t371.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t371.t13 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t371.t2 t371.t3 t371.t4 t371.t5 t371.t6 t371.t7 t371.t8 t371.t9 t371.t10 t371.t11 t371.t12))
% 11.09/11.30  (step t371.t14 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t371.t13))
% 11.09/11.30  (step t371.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t371.t14))
% 11.09/11.30  (step t371.t16 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t371.t1 t371.t15))
% 11.09/11.30  (step t371.t17 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 11.09/11.30  (step t371.t18 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t371.t16 t371.t17))
% 11.09/11.30  (step t371.t19 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t371.t18))
% 11.09/11.30  (step t371.t20 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t371.t19))
% 11.09/11.30  (step t371.t21 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.30  (step t371.t22 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t371.t21 t371.a2 t371.a4 t371.a6 t371.a7 t371.a8 t371.a1 t371.a9 t371.a5 t371.a3 t371.a0))
% 11.09/11.30  (step t371.t23 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t371.t20 t371.t22))
% 11.09/11.30  (step t371 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t371.a0 t371.a1 t371.a2 t371.a3 t371.a4 t371.a5 t371.a6 t371.a7 t371.a8 t371.a9))
% 11.09/11.30  (step t372 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t373 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t374 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t375 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t376 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t377 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t378 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t379 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t380 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t381 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t382 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))))) :rule resolution :premises (t371 t372 t373 t374 t375 t376 t377 t378 t379 t380 t381))
% 11.09/11.30  (step t383 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t382))
% 11.09/11.30  (step t384 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t383))
% 11.09/11.30  (step t385 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t370 t384))
% 11.09/11.30  (step t386 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 11.09/11.30  (step t387 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t385 t386))
% 11.09/11.30  (step t388 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t387))
% 11.09/11.30  (step t389 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t388))
% 11.09/11.30  (step t390 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c9) (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t347 t389))
% 11.09/11.30  (step t391 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 11.09/11.30  (step t392 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t391))
% 11.09/11.30  (step t393 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t104 t111 t118 t125 t132 t134 t136 t138 t140 t147 t174 t182 t190 t201 t209 t220 t228 t236 t244 t252 t278 t182 t190 t201 t209 t220 t228 t236 t244 t252 t304 t182 t190 t201 t209 t220 t228 t236 t244 t252 t329 t182 t190 t201 t209 t220 t228 t236 t244 t252 t346 t190 t209 t244 t369 t182 t190 t209 t228 t236 t244 t252 t390 t182 t190 t209 t228 t236 t244 t252 t392))
% 11.09/11.30  (step t394 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule contraction :premises (t393))
% 11.09/11.30  (step t395 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.30  (step t396 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule all_simplify)
% 11.09/11.30  (step t397 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.09/11.30  (step t398 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t396 t397))
% 11.09/11.30  (step t399 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t395 t398 a10))
% 11.09/11.30  (step t400 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t399))
% 11.09/11.30  (step t401 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t400))
% 11.09/11.30  (step t402 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.09/11.30  (step t403 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule all_simplify)
% 11.09/11.30  (step t404 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t396 t403))
% 11.09/11.30  (step t405 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t402 t404 a11))
% 11.09/11.30  (step t406 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t405))
% 11.09/11.30  (step t407 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t406))
% 11.09/11.30  (step t408 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.09/11.30  (step t409 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.09/11.30  (step t410 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t396 t409))
% 11.09/11.30  (step t411 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t408 t410 a12))
% 11.09/11.30  (step t412 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t411))
% 11.09/11.30  (step t413 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t412))
% 11.09/11.30  (step t414 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.30  (step t415 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.30  (step t416 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t396 t415))
% 11.09/11.30  (step t417 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t414 t416 a9))
% 11.09/11.30  (step t418 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t417))
% 11.09/11.30  (step t419 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t418))
% 11.09/11.30  (step t420 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule resolution :premises (t394 t401 t407 t413 t419))
% 11.09/11.30  (step t421 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule contraction :premises (t420))
% 11.09/11.30  (step t422 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t423)
% 11.09/11.30  (assume t423.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))))
% 11.09/11.30  (step t423.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.09/11.30  (step t423.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) :rule or :premises (t423.t1))
% 11.09/11.30  (step t423.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) :rule resolution :premises (t423.t2 t423.a0))
% 11.09/11.30  (step t423 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) :rule subproof :discharge (t423.a0))
% 11.09/11.30  (step t424 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) :rule resolution :premises (t422 t423))
% 11.09/11.30  (step t425 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))))) :rule implies_neg2)
% 11.09/11.30  (step t426 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))))) :rule resolution :premises (t424 t425))
% 11.09/11.30  (step t427 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))))) :rule contraction :premises (t426))
% 11.09/11.30  (step t428 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c9)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) :rule implies :premises (t427))
% 11.09/11.30  (step t429 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule or_pos)
% 11.09/11.30  (step t430 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))))) :rule reordering :premises (t429))
% 11.09/11.30  (step t431 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.30  (step t432 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t433)
% 11.09/11.30  (assume t433.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (assume t433.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t433.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.30  (assume t433.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.30  (assume t433.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t433.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t433.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t433.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.30  (assume t433.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.30  (assume t433.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.30  (assume t433.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.30  (step t433.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t433.t2)
% 11.09/11.30  (assume t433.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.30  (assume t433.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.30  (assume t433.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.30  (assume t433.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.30  (assume t433.t2.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.30  (assume t433.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.30  (assume t433.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.30  (assume t433.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.30  (assume t433.t2.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.30  (assume t433.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.30  (assume t433.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.30  (step t433.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t433.t2.a10))
% 11.09/11.30  (step t433.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t433.t2.t1))
% 11.09/11.30  (step t433.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t433.t2.a4))
% 11.09/11.30  (step t433.t2.t4 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t433.t2.a5))
% 11.09/11.30  (step t433.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t433.t2.t3 t433.t2.t4))
% 11.09/11.30  (step t433.t2.t6 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t433.t2.t5))
% 11.09/11.30  (step t433.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t433.t2.a6))
% 11.09/11.30  (step t433.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t433.t2.a7))
% 11.09/11.30  (step t433.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t433.t2.t8))
% 11.09/11.30  (step t433.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t433.t2.a8))
% 11.09/11.30  (step t433.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t433.t2.t9 t433.t2.t10))
% 11.09/11.30  (step t433.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t433.t2.t11))
% 11.09/11.30  (step t433.t2.t13 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.30  (step t433.t2.t14 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.30  (step t433.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t433.t2.a9 t433.t2.t14))
% 11.09/11.30  (step t433.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t433.t2.a9))
% 11.09/11.30  (step t433.t2.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t433.t2.t16 t433.t2.a8))
% 11.09/11.30  (step t433.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t433.t2.t7))
% 11.09/11.30  (step t433.t2.t19 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t433.t2.a8 t433.t2.t15 t433.t2.t17 t433.t2.t11 t433.t2.t18 t433.t2.t5))
% 11.09/11.30  (step t433.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t433.t2.t13 t433.t2.t19))
% 11.09/11.30  (step t433.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t433.t2.a3))
% 11.09/11.30  (step t433.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t433.t2.a2))
% 11.09/11.30  (step t433.t2.t23 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.30  (step t433.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t433.t2.t22 t433.t2.t23))
% 11.09/11.30  (step t433.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t433.t2.a1))
% 11.09/11.30  (step t433.t2.t26 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t433.t2.a0))
% 11.09/11.30  (step t433.t2.t27 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t433.t2.t26))
% 11.09/11.30  (step t433.t2.t28 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t433.t2.a2 t433.t2.t20 t433.t2.t21 t433.t2.t24 t433.t2.t25 t433.t2.t27))
% 11.09/11.30  (step t433.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule cong :premises (t433.t2.t28 t433.t2.t10))
% 11.09/11.30  (step t433.t2.t30 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule trans :premises (t433.t2.t2 t433.t2.t6 t433.t2.t7 t433.t2.t12 t433.t2.t29))
% 11.09/11.30  (step t433.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule subproof :discharge (t433.t2.a0 t433.t2.a1 t433.t2.a2 t433.t2.a3 t433.t2.a4 t433.t2.a5 t433.t2.a6 t433.t2.a7 t433.t2.a8 t433.t2.a9 t433.t2.a10))
% 11.09/11.30  (step t433.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t433.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t433.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t433.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t433.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.30  (step t433.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t433.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t433.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.30  (step t433.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t433.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t433.t13 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t433.t14 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t433.t2 t433.t3 t433.t4 t433.t5 t433.t6 t433.t7 t433.t8 t433.t9 t433.t10 t433.t11 t433.t12 t433.t13))
% 11.09/11.30  (step t433.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule reordering :premises (t433.t14))
% 11.09/11.30  (step t433.t16 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule contraction :premises (t433.t15))
% 11.09/11.30  (step t433.t17 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t433.t1 t433.t16))
% 11.09/11.30  (step t433.t18 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t433.t19 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule resolution :premises (t433.t17 t433.t18))
% 11.09/11.30  (step t433.t20 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule contraction :premises (t433.t19))
% 11.09/11.30  (step t433.t21 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule implies :premises (t433.t20))
% 11.09/11.30  (step t433.t22 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.30  (step t433.t23 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t433.t22 t433.a1 t433.a5 t433.a7 t433.a10 t433.a3 t433.a2 t433.a9 t433.a8 t433.a6 t433.a4 t433.a0))
% 11.09/11.30  (step t433.t24 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t433.t21 t433.t23))
% 11.09/11.30  (step t433 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule subproof :discharge (t433.a0 t433.a1 t433.a2 t433.a3 t433.a4 t433.a5 t433.a6 t433.a7 t433.a8 t433.a9 t433.a10))
% 11.09/11.30  (step t434 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t435 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.30  (step t436 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t437 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.30  (step t438 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.30  (step t439 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.30  (step t440 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t441 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.30  (step t442 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.30  (step t443 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.30  (step t444 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.30  (step t445 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule resolution :premises (t433 t434 t435 t436 t437 t438 t439 t440 t441 t442 t443 t444))
% 11.09/11.30  (step t446 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule reordering :premises (t445))
% 11.09/11.30  (step t447 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule contraction :premises (t446))
% 11.09/11.30  (step t448 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t432 t447))
% 11.09/11.30  (step t449 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.30  (step t450 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule resolution :premises (t448 t449))
% 11.09/11.30  (step t451 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8)))) :rule contraction :premises (t450))
% 11.09/11.30  (step t452 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule implies :premises (t451))
% 11.09/11.30  (step t453 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c8))) :rule resolution :premises (t431 t452))
% 11.09/11.30  (step t454 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t455)
% 11.09/11.30  (assume t455.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.30  (step t455.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c8) (:= Z tptp.sk_c9)))
% 11.09/11.30  (step t455.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule or :premises (t455.t1))
% 11.09/11.30  (step t455.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t455.t2 t455.a0))
% 11.09/11.30  (step t455 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule subproof :discharge (t455.a0))
% 11.09/11.30  (step t456 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t454 t455))
% 11.09/11.30  (step t457 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.30  (step t458 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t456 t457))
% 11.09/11.30  (step t459 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule contraction :premises (t458))
% 11.09/11.30  (step t460 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies :premises (t459))
% 11.09/11.30  (step t461 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t460 a2))
% 11.09/11.30  (step t462 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.09/11.30  (anchor :step t463)
% 11.09/11.30  (assume t463.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.30  (step t463.t1 (cl (or (not (forall ((X $$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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c8)))
% 11.09/11.30  (step t463.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule or :premises (t463.t1))
% 11.09/11.30  (step t463.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t463.t2 t463.a0))
% 11.09/11.30  (step t463 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule subproof :discharge (t463.a0))
% 11.09/11.30  (step t464 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t462 t463))
% 11.09/11.30  (step t465 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg2)
% 11.09/11.30  (step t466 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t464 t465))
% 11.09/11.31  (step t467 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule contraction :premises (t466))
% 11.09/11.31  (step t468 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule implies :premises (t467))
% 11.09/11.31  (step t469 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t468 a2))
% 11.09/11.31  (step t470 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t471)
% 11.09/11.31  (assume t471.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.31  (step t471.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.09/11.31  (step t471.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t471.t1))
% 11.09/11.31  (step t471.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t471.t2 t471.a0))
% 11.09/11.31  (step t471 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t471.a0))
% 11.09/11.31  (step t472 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t470 t471))
% 11.09/11.31  (step t473 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.09/11.31  (step t474 (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 (t472 t473))
% 11.09/11.31  (step t475 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t474))
% 11.09/11.31  (step t476 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t475))
% 11.09/11.31  (step t477 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t476 t200))
% 11.09/11.31  (step t478 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t479)
% 11.09/11.31  (assume t479.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.31  (step t479.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.09/11.31  (step t479.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule or :premises (t479.t1))
% 11.09/11.31  (step t479.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t479.t2 t479.a0))
% 11.09/11.31  (step t479 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule subproof :discharge (t479.a0))
% 11.09/11.31  (step t480 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t478 t479))
% 11.09/11.31  (step t481 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.31  (step t482 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule resolution :premises (t480 t481))
% 11.09/11.31  (step t483 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule contraction :premises (t482))
% 11.09/11.31  (step t484 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule implies :premises (t483))
% 11.09/11.31  (step t485 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t484 t200))
% 11.09/11.31  (step t486 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.31  (step t487 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t488)
% 11.09/11.31  (assume t488.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (assume t488.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t488.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t488.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t488.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t488.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t488.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t488.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t488.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t488.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t488.a10 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t488.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t488.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t488.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (step t488.t1 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t488.t2)
% 11.09/11.31  (assume t488.t2.a0 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t488.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t488.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t488.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t488.t2.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t488.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t488.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t488.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t488.t2.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t488.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t488.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t488.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t488.t2.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t488.t2.a13 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (step t488.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t488.t2.a13))
% 11.09/11.31  (step t488.t2.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t488.t2.t1))
% 11.09/11.31  (step t488.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.09/11.31  (step t488.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t488.t2.a2))
% 11.09/11.31  (step t488.t2.t5 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t488.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t488.t2.t4 t488.t2.t5))
% 11.09/11.31  (step t488.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t488.t2.t6))
% 11.09/11.31  (step t488.t2.t8 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t488.t2.t9 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t488.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t488.t2.a9 t488.t2.t9))
% 11.09/11.31  (step t488.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t488.t2.a9))
% 11.09/11.31  (step t488.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t488.t2.t11 t488.t2.a8))
% 11.09/11.31  (step t488.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t488.t2.a7))
% 11.09/11.31  (step t488.t2.t14 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t488.t2.t13))
% 11.09/11.31  (step t488.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t488.t2.a8))
% 11.09/11.31  (step t488.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t488.t2.t14 t488.t2.t15))
% 11.09/11.31  (step t488.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t488.t2.a6))
% 11.09/11.31  (step t488.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t488.t2.t17))
% 11.09/11.31  (step t488.t2.t19 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t488.t2.a4))
% 11.09/11.31  (step t488.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t488.t2.a5))
% 11.09/11.31  (step t488.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t488.t2.t19 t488.t2.t20))
% 11.09/11.31  (step t488.t2.t22 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t488.t2.a8 t488.t2.t10 t488.t2.t12 t488.t2.t16 t488.t2.t18 t488.t2.t21))
% 11.09/11.31  (step t488.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t488.t2.t8 t488.t2.t22))
% 11.09/11.31  (step t488.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule symm :premises (t488.t2.t23))
% 11.09/11.31  (step t488.t2.t25 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t488.t2.a1 t488.t2.t7 t488.t2.a3 t488.t2.t24 t488.t2.t4))
% 11.09/11.31  (step t488.t2.t26 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t488.t2.t3 t488.t2.t25))
% 11.09/11.31  (step t488.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t488.t2.a1))
% 11.09/11.31  (step t488.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.identity)) :rule trans :premises (t488.t2.t27 t488.t2.t25))
% 11.09/11.31  (step t488.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t488.t2.t28 t488.t2.t3))
% 11.09/11.31  (step t488.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t488.t2.t29))
% 11.09/11.31  (step t488.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t488.t2.a12))
% 11.09/11.31  (step t488.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule symm :premises (t488.t2.t31))
% 11.09/11.31  (step t488.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t488.t2.a3))
% 11.09/11.31  (step t488.t2.t34 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t488.t2.a0))
% 11.09/11.31  (step t488.t2.t35 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t488.t2.t34))
% 11.09/11.31  (step t488.t2.t36 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t488.t2.a2 t488.t2.t23 t488.t2.t33 t488.t2.t6 t488.t2.t27 t488.t2.t35))
% 11.09/11.31  (step t488.t2.t37 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule cong :premises (t488.t2.a1 t488.t2.t3))
% 11.09/11.31  (step t488.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t488.t2.a11))
% 11.09/11.31  (step t488.t2.t39 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) tptp.sk_c4)) :rule trans :premises (t488.t2.t37 t488.t2.t29 t488.t2.t38))
% 11.09/11.31  (step t488.t2.t40 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t488.t2.t36 t488.t2.t39))
% 11.09/11.31  (step t488.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t488.t2.a10))
% 11.09/11.31  (step t488.t2.t42 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t488.t2.t41))
% 11.09/11.31  (step t488.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t488.t2.t42))
% 11.09/11.31  (step t488.t2.t44 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t488.t2.a11 t488.t2.t30 t488.t2.t32 t488.t2.t40 t488.t2.t43))
% 11.09/11.31  (step t488.t2.t45 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.09/11.31  (step t488.t2.t46 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t488.t2.t44 t488.t2.t45))
% 11.09/11.31  (step t488.t2.t47 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t488.t2.t44))
% 11.09/11.31  (step t488.t2.t48 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t488.t2.t36))
% 11.09/11.31  (step t488.t2.t49 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t488.t2.t2 t488.t2.t26 t488.t2.t46 t488.t2.t11 t488.t2.a2 t488.t2.t23 t488.t2.t33 t488.t2.t6 t488.t2.t27 t488.t2.t35 t488.t2.t47 t488.t2.t48))
% 11.09/11.31  (step t488.t2 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t488.t2.a0 t488.t2.a1 t488.t2.a2 t488.t2.a3 t488.t2.a4 t488.t2.a5 t488.t2.a6 t488.t2.a7 t488.t2.a8 t488.t2.a9 t488.t2.a10 t488.t2.a11 t488.t2.a12 t488.t2.a13))
% 11.09/11.31  (step t488.t3 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t488.t4 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t488.t5 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t488.t6 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t488.t7 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t488.t8 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t488.t9 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t488.t10 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t488.t11 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t488.t12 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t488.t13 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t488.t14 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t488.t15 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t488.t16 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t488.t17 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t488.t2 t488.t3 t488.t4 t488.t5 t488.t6 t488.t7 t488.t8 t488.t9 t488.t10 t488.t11 t488.t12 t488.t13 t488.t14 t488.t15 t488.t16))
% 11.09/11.31  (step t488.t18 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule reordering :premises (t488.t17))
% 11.09/11.31  (step t488.t19 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t488.t18))
% 11.09/11.31  (step t488.t20 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t488.t1 t488.t19))
% 11.09/11.31  (step t488.t21 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.09/11.31  (step t488.t22 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t488.t20 t488.t21))
% 11.09/11.31  (step t488.t23 (cl (=> (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t488.t22))
% 11.09/11.31  (step t488.t24 (cl (not (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t488.t23))
% 11.09/11.31  (step t488.t25 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t488.t26 (cl (and (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t488.t25 t488.a1 t488.a5 t488.a7 t488.a13 t488.a3 t488.a2 t488.a12 t488.a11 t488.a6 t488.a4 t488.a9 t488.a8 t488.a10 t488.a0))
% 11.09/11.31  (step t488.t27 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t488.t24 t488.t26))
% 11.09/11.31  (step t488 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t488.a0 t488.a1 t488.a2 t488.a3 t488.a4 t488.a5 t488.a6 t488.a7 t488.a8 t488.a9 t488.a10 t488.a11 t488.a12 t488.a13))
% 11.09/11.31  (step t489 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t490 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t491 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t492 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t493 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t494 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t495 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t496 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t497 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t498 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t499 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t500 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t501 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t502 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t503 (cl (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule resolution :premises (t488 t489 t490 t491 t492 t493 t494 t495 t496 t497 t498 t499 t500 t501 t502))
% 11.09/11.31  (step t504 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule reordering :premises (t503))
% 11.09/11.31  (step t505 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t504))
% 11.09/11.31  (step t506 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t487 t505))
% 11.09/11.31  (step t507 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.09/11.31  (step t508 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t506 t507))
% 11.09/11.31  (step t509 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t508))
% 11.09/11.31  (step t510 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t509))
% 11.09/11.31  (step t511 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t486 t510))
% 11.09/11.31  (step t512 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t513)
% 11.09/11.31  (assume t513.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.09/11.31  (step t513.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.sk_c9) (:= Z tptp.sk_c4)))
% 11.09/11.31  (step t513.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule or :premises (t513.t1))
% 11.09/11.31  (step t513.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t513.t2 t513.a0))
% 11.09/11.31  (step t513 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule subproof :discharge (t513.a0))
% 11.09/11.31  (step t514 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t512 t513))
% 11.09/11.31  (step t515 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule implies_neg2)
% 11.09/11.31  (step t516 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule resolution :premises (t514 t515))
% 11.09/11.31  (step t517 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))) :rule contraction :premises (t516))
% 11.09/11.31  (step t518 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule implies :premises (t517))
% 11.09/11.31  (step t519 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule resolution :premises (t518 a2))
% 11.09/11.31  (step t520 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t521)
% 11.09/11.31  (assume t521.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.31  (step t521.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.09/11.31  (step t521.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t521.t1))
% 11.09/11.31  (step t521.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t521.t2 t521.a0))
% 11.09/11.31  (step t521 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t521.a0))
% 11.09/11.31  (step t522 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t520 t521))
% 11.09/11.31  (step t523 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 11.09/11.31  (step t524 (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 (t522 t523))
% 11.09/11.31  (step t525 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t524))
% 11.09/11.31  (step t526 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t525))
% 11.09/11.31  (step t527 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t526 t219))
% 11.09/11.31  (step t528 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.31  (step t529 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t530)
% 11.09/11.31  (assume t530.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (assume t530.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (assume t530.a2 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t530.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t530.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t530.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t530.a6 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t530.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t530.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t530.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t530.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t530.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t530.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t530.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t530.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (step t530.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t530.t2)
% 11.09/11.31  (assume t530.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t530.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t530.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t530.t2.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t530.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t530.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t530.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t530.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t530.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t530.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t530.t2.a10 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t530.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t530.t2.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t530.t2.a13 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (assume t530.t2.a14 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (step t530.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t530.t2.a14))
% 11.09/11.31  (step t530.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t530.t2.t1))
% 11.09/11.31  (step t530.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t530.t2.a3))
% 11.09/11.31  (step t530.t2.t4 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t530.t2.a4))
% 11.09/11.31  (step t530.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t530.t2.t3 t530.t2.t4))
% 11.09/11.31  (step t530.t2.t6 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t530.t2.t5))
% 11.09/11.31  (step t530.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t530.t2.a5))
% 11.09/11.31  (step t530.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t530.t2.a6))
% 11.09/11.31  (step t530.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t530.t2.t8))
% 11.09/11.31  (step t530.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t530.t2.a7))
% 11.09/11.31  (step t530.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t530.t2.t9 t530.t2.t10))
% 11.09/11.31  (step t530.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t530.t2.t11))
% 11.09/11.31  (step t530.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t530.t2.a8))
% 11.09/11.31  (step t530.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t530.t2.t13 t530.t2.a7))
% 11.09/11.31  (step t530.t2.t15 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule symm :premises (t530.t2.t14))
% 11.09/11.31  (step t530.t2.t16 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t530.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t530.t2.a8 t530.t2.t16))
% 11.09/11.31  (step t530.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t530.t2.t17))
% 11.09/11.31  (step t530.t2.t19 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t530.t2.a13))
% 11.09/11.31  (step t530.t2.t20 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t530.t2.t19))
% 11.09/11.31  (step t530.t2.t21 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.09/11.31  (step t530.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t530.t2.a1))
% 11.09/11.31  (step t530.t2.t23 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t530.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t530.t2.t22 t530.t2.t23))
% 11.09/11.31  (step t530.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t530.t2.t24))
% 11.09/11.31  (step t530.t2.t26 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t530.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t530.t2.t7))
% 11.09/11.31  (step t530.t2.t28 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t530.t2.a7 t530.t2.t17 t530.t2.t14 t530.t2.t11 t530.t2.t27 t530.t2.t5))
% 11.09/11.31  (step t530.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t530.t2.t26 t530.t2.t28))
% 11.09/11.31  (step t530.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule symm :premises (t530.t2.t29))
% 11.09/11.31  (step t530.t2.t31 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t530.t2.a0 t530.t2.t25 t530.t2.a2 t530.t2.t30 t530.t2.t22))
% 11.09/11.31  (step t530.t2.t32 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t530.t2.t21 t530.t2.t31))
% 11.09/11.31  (step t530.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t530.t2.a0))
% 11.09/11.31  (step t530.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.identity)) :rule trans :premises (t530.t2.t33 t530.t2.t31))
% 11.09/11.31  (step t530.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t530.t2.t34 t530.t2.t21))
% 11.09/11.31  (step t530.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t530.t2.t35))
% 11.09/11.31  (step t530.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t530.t2.a12))
% 11.09/11.31  (step t530.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule symm :premises (t530.t2.t37))
% 11.09/11.31  (step t530.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t530.t2.a2))
% 11.09/11.31  (step t530.t2.t40 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t530.t2.a10))
% 11.09/11.31  (step t530.t2.t41 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t530.t2.t40))
% 11.09/11.31  (step t530.t2.t42 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t530.t2.a1 t530.t2.t29 t530.t2.t39 t530.t2.t24 t530.t2.t33 t530.t2.t41))
% 11.09/11.31  (step t530.t2.t43 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule cong :premises (t530.t2.a0 t530.t2.t21))
% 11.09/11.31  (step t530.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t530.t2.a11))
% 11.09/11.31  (step t530.t2.t45 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c4) tptp.sk_c4)) :rule trans :premises (t530.t2.t43 t530.t2.t35 t530.t2.t44))
% 11.09/11.31  (step t530.t2.t46 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t530.t2.t42 t530.t2.t45))
% 11.09/11.31  (step t530.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t530.t2.a9))
% 11.09/11.31  (step t530.t2.t48 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t530.t2.t47))
% 11.09/11.31  (step t530.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t530.t2.t48))
% 11.09/11.31  (step t530.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.identity)) :rule trans :premises (t530.t2.t36 t530.t2.t38 t530.t2.t46 t530.t2.t49))
% 11.09/11.31  (step t530.t2.t51 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t530.t2.a11 t530.t2.t50))
% 11.09/11.31  (step t530.t2.t52 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.09/11.31  (step t530.t2.t53 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t530.t2.t51 t530.t2.t52))
% 11.09/11.31  (step t530.t2.t54 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.09/11.31  (step t530.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t530.t2.t54 t530.t2.t28))
% 11.09/11.31  (step t530.t2.t56 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c9)) :rule trans :premises (t530.t2.t6 t530.t2.t7 t530.t2.t12 t530.t2.t15 t530.t2.t18 t530.t2.t10 t530.t2.t20 t530.t2.t32 t530.t2.t53 t530.t2.t13 t530.t2.a1 t530.t2.t29 t530.t2.t39 t530.t2.t24 t530.t2.t33))
% 11.09/11.31  (step t530.t2.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule cong :premises (t530.t2.t54 t530.t2.t56))
% 11.09/11.31  (step t530.t2.t58 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule trans :premises (t530.t2.t2 t530.t2.t6 t530.t2.t7 t530.t2.t12 t530.t2.t15 t530.t2.t18 t530.t2.t10 t530.t2.t20 t530.t2.t32 t530.t2.t53 t530.t2.t13 t530.t2.a1 t530.t2.t29 t530.t2.t39 t530.t2.t24 t530.t2.t33 t530.t2.a4 t530.t2.t55 t530.t2.t57))
% 11.09/11.31  (step t530.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t530.t2.a0 t530.t2.a1 t530.t2.a2 t530.t2.a3 t530.t2.a4 t530.t2.a5 t530.t2.a6 t530.t2.a7 t530.t2.a8 t530.t2.a9 t530.t2.a10 t530.t2.a11 t530.t2.a12 t530.t2.a13 t530.t2.a14))
% 11.09/11.31  (step t530.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t530.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t530.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t530.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t530.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t530.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t530.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t530.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t530.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t530.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t530.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t530.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t530.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t530.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t530.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t530.t18 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t530.t2 t530.t3 t530.t4 t530.t5 t530.t6 t530.t7 t530.t8 t530.t9 t530.t10 t530.t11 t530.t12 t530.t13 t530.t14 t530.t15 t530.t16 t530.t17))
% 11.09/11.31  (step t530.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t530.t18))
% 11.09/11.31  (step t530.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t530.t19))
% 11.09/11.31  (step t530.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t530.t1 t530.t20))
% 11.09/11.31  (step t530.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t530.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t530.t21 t530.t22))
% 11.09/11.31  (step t530.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t530.t23))
% 11.09/11.31  (step t530.t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t530.t24))
% 11.09/11.31  (step t530.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t530.t27 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t530.t26 t530.a6 t530.a8 t530.a14 t530.a4 t530.a3 t530.a13 t530.a12 t530.a7 t530.a5 t530.a10 t530.a2 t530.a9 t530.a11 t530.a1 t530.a0))
% 11.09/11.31  (step t530.t28 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t530.t25 t530.t27))
% 11.09/11.31  (step t530 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t530.a0 t530.a1 t530.a2 t530.a3 t530.a4 t530.a5 t530.a6 t530.a7 t530.a8 t530.a9 t530.a10 t530.a11 t530.a12 t530.a13 t530.a14))
% 11.09/11.31  (step t531 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t532 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t533 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t534 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t535 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t536 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t537 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t538 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t539 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t540 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t541 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t542 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t543 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t544 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t545 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t546 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule resolution :premises (t530 t531 t532 t533 t534 t535 t536 t537 t538 t539 t540 t541 t542 t543 t544 t545))
% 11.09/11.31  (step t547 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t546))
% 11.09/11.31  (step t548 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t547))
% 11.09/11.31  (step t549 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t529 t548))
% 11.09/11.31  (step t550 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t551 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t549 t550))
% 11.09/11.31  (step t552 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t551))
% 11.09/11.31  (step t553 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t552))
% 11.09/11.31  (step t554 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t528 t553))
% 11.09/11.31  (step t555 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t556)
% 11.09/11.31  (assume t556.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (assume t556.a1 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t556.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t556.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t556.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t556.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t556.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t556.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t556.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t556.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t556.a10 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t556.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t556.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t556.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (step t556.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t556.t2)
% 11.09/11.31  (assume t556.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t556.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t556.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t556.t2.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t556.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t556.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t556.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t556.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t556.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t556.t2.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.09/11.31  (assume t556.t2.a10 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))))
% 11.09/11.31  (assume t556.t2.a11 (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))
% 11.09/11.31  (assume t556.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.09/11.31  (assume t556.t2.a13 (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))
% 11.09/11.31  (step t556.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t556.t2.a13))
% 11.09/11.31  (step t556.t2.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule symm :premises (t556.t2.t1))
% 11.09/11.31  (step t556.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.09/11.31  (step t556.t2.t4 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t556.t2.t5 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t556.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t556.t2.a8 t556.t2.t5))
% 11.09/11.31  (step t556.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t556.t2.a8))
% 11.09/11.31  (step t556.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t556.t2.t7 t556.t2.a7))
% 11.09/11.31  (step t556.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t556.t2.a6))
% 11.09/11.31  (step t556.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t556.t2.t9))
% 11.09/11.31  (step t556.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t556.t2.a7))
% 11.09/11.31  (step t556.t2.t12 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t556.t2.t10 t556.t2.t11))
% 11.09/11.31  (step t556.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t556.t2.a5))
% 11.09/11.31  (step t556.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t556.t2.t13))
% 11.09/11.31  (step t556.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t556.t2.a3))
% 11.09/11.31  (step t556.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t556.t2.a4))
% 11.09/11.31  (step t556.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t556.t2.t15 t556.t2.t16))
% 11.09/11.31  (step t556.t2.t18 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t556.t2.a7 t556.t2.t6 t556.t2.t8 t556.t2.t12 t556.t2.t14 t556.t2.t17))
% 11.09/11.31  (step t556.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t556.t2.t4 t556.t2.t18))
% 11.09/11.31  (step t556.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t556.t2.a2))
% 11.09/11.31  (step t556.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t556.t2.a1))
% 11.09/11.31  (step t556.t2.t22 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t556.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t556.t2.t21 t556.t2.t22))
% 11.09/11.31  (step t556.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t556.t2.a0))
% 11.09/11.31  (step t556.t2.t25 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t556.t2.a1 t556.t2.t19 t556.t2.t20 t556.t2.t23 t556.t2.t24))
% 11.09/11.31  (step t556.t2.t26 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule cong :premises (t556.t2.t3 t556.t2.t25))
% 11.09/11.31  (step t556.t2.t27 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule symm :premises (t556.t2.t26))
% 11.09/11.31  (step t556.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t556.t2.a12))
% 11.09/11.31  (step t556.t2.t29 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t556.t2.t28))
% 11.09/11.31  (step t556.t2.t30 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) :rule symm :premises (t556.t2.a11))
% 11.09/11.31  (step t556.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t556.t2.t23))
% 11.09/11.31  (step t556.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule symm :premises (t556.t2.t19))
% 11.09/11.31  (step t556.t2.t33 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t556.t2.t30 t556.t2.a0 t556.t2.t31 t556.t2.a2 t556.t2.t32 t556.t2.t21))
% 11.09/11.31  (step t556.t2.t34 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t556.t2.t25))
% 11.09/11.31  (step t556.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.identity)) :rule trans :premises (t556.t2.t24 t556.t2.t34))
% 11.09/11.31  (step t556.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t556.t2.t35 t556.t2.t3))
% 11.09/11.31  (step t556.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t556.t2.t36))
% 11.09/11.31  (step t556.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.sk_c9 tptp.sk_c4))) :rule cong :premises (t556.t2.t24 t556.t2.t3))
% 11.09/11.31  (step t556.t2.t39 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c9 tptp.sk_c4))) :rule trans :premises (t556.t2.a9 t556.t2.t37 t556.t2.t38))
% 11.09/11.31  (step t556.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule cong :premises (t556.t2.t33 t556.t2.t39))
% 11.09/11.31  (step t556.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4))) :rule symm :premises (t556.t2.a10))
% 11.09/11.31  (step t556.t2.t42 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) :rule trans :premises (t556.t2.t29 t556.t2.t40 t556.t2.t41 t556.t2.t36))
% 11.09/11.31  (step t556.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t556.t2.a9))
% 11.09/11.31  (step t556.t2.t44 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t556.t2.t42 t556.t2.t43))
% 11.09/11.31  (step t556.t2.t45 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.09/11.31  (step t556.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t556.t2.t44 t556.t2.t45))
% 11.09/11.31  (step t556.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t556.t2.t46))
% 11.09/11.31  (step t556.t2.t48 (cl (= tptp.identity (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule trans :premises (t556.t2.a8 t556.t2.t46 t556.t2.t26))
% 11.09/11.31  (step t556.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule cong :premises (t556.t2.t25 t556.t2.t48))
% 11.09/11.31  (step t556.t2.t50 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule trans :premises (t556.t2.t2 t556.t2.t27 t556.t2.t47 t556.t2.t49))
% 11.09/11.31  (step t556.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t556.t2.a0 t556.t2.a1 t556.t2.a2 t556.t2.a3 t556.t2.a4 t556.t2.a5 t556.t2.a6 t556.t2.a7 t556.t2.a8 t556.t2.a9 t556.t2.a10 t556.t2.a11 t556.t2.a12 t556.t2.a13))
% 11.09/11.31  (step t556.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t556.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t556.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t556.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t556.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t556.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t556.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t556.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t556.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t556.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t556.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t556.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t556.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t556.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t556.t17 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t556.t2 t556.t3 t556.t4 t556.t5 t556.t6 t556.t7 t556.t8 t556.t9 t556.t10 t556.t11 t556.t12 t556.t13 t556.t14 t556.t15 t556.t16))
% 11.09/11.31  (step t556.t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule reordering :premises (t556.t17))
% 11.09/11.31  (step t556.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t556.t18))
% 11.09/11.31  (step t556.t20 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t556.t1 t556.t19))
% 11.09/11.31  (step t556.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.31  (step t556.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t556.t20 t556.t21))
% 11.09/11.31  (step t556.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t556.t22))
% 11.09/11.31  (step t556.t24 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t556.t23))
% 11.09/11.31  (step t556.t25 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t556.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t556.t25 t556.a5 t556.a7 t556.a13 t556.a3 t556.a2 t556.a12 t556.a11 t556.a6 t556.a4 t556.a8 t556.a10 t556.a1 t556.a9 t556.a0))
% 11.09/11.31  (step t556.t27 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t556.t24 t556.t26))
% 11.09/11.31  (step t556 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule subproof :discharge (t556.a0 t556.a1 t556.a2 t556.a3 t556.a4 t556.a5 t556.a6 t556.a7 t556.a8 t556.a9 t556.a10 t556.a11 t556.a12 t556.a13))
% 11.09/11.31  (step t557 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t558 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t559 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t560 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t561 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t562 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t563 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t564 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t565 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t566 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.09/11.31  (step t567 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) :rule and_pos)
% 11.09/11.31  (step t568 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t569 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t570 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t571 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule resolution :premises (t556 t557 t558 t559 t560 t561 t562 t563 t564 t565 t566 t567 t568 t569 t570))
% 11.09/11.31  (step t572 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule reordering :premises (t571))
% 11.09/11.31  (step t573 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t572))
% 11.09/11.31  (step t574 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t555 t573))
% 11.09/11.31  (step t575 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.31  (step t576 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule resolution :premises (t574 t575))
% 11.09/11.31  (step t577 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule contraction :premises (t576))
% 11.09/11.31  (step t578 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule implies :premises (t577))
% 11.09/11.31  (step t579 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c9 tptp.sk_c4)))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t486 t578))
% 11.09/11.31  (step t580 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t104 t118 t428 t111 t136 t430 t134 t147 t453 t461 t469 t477 t485 t236 t244 t252 t511 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t554 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t579 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t392))
% 11.09/11.31  (step t581 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule contraction :premises (t580))
% 11.09/11.31  (step t582 (cl (not (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.31  (step t583 (cl (= (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule all_simplify)
% 11.09/11.31  (step t584 (cl (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t583 t397))
% 11.09/11.31  (step t585 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t582 t584 a22))
% 11.09/11.31  (step t586 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t585))
% 11.09/11.31  (step t587 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule reordering :premises (t586))
% 11.09/11.31  (step t588 (cl (not (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t589 (cl (= (or (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t583 t415))
% 11.09/11.31  (step t590 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t588 t589 a21))
% 11.09/11.31  (step t591 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t590))
% 11.09/11.31  (step t592 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule reordering :premises (t591))
% 11.09/11.31  (step t593 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule resolution :premises (t581 t587 t592))
% 11.09/11.31  (step t594 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule contraction :premises (t593))
% 11.09/11.31  (step t595 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.09/11.31  (step t596 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t597)
% 11.09/11.31  (assume t597.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (assume t597.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t597.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t597.a3 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (assume t597.a4 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t597.a5 (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))
% 11.09/11.31  (assume t597.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t597.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t597.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t597.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t597.a10 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.09/11.31  (assume t597.a11 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t597.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t597.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t597.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t597.a15 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.09/11.31  (assume t597.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.09/11.31  (step t597.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t597.t2)
% 11.09/11.31  (assume t597.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.09/11.31  (assume t597.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t597.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.09/11.31  (assume t597.t2.a3 (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))
% 11.09/11.31  (assume t597.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t597.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t597.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t597.t2.a7 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t597.t2.a8 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t597.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t597.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t597.t2.a11 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t597.t2.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.09/11.31  (assume t597.t2.a13 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t597.t2.a14 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t597.t2.a15 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (assume t597.t2.a16 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (step t597.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t597.t2.a16))
% 11.09/11.31  (step t597.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t597.t2.t1))
% 11.09/11.31  (step t597.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t597.t2.a7))
% 11.09/11.31  (step t597.t2.t4 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t597.t2.a8))
% 11.09/11.31  (step t597.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t597.t2.t3 t597.t2.t4))
% 11.09/11.31  (step t597.t2.t6 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t597.t2.t5))
% 11.09/11.31  (step t597.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t597.t2.a9))
% 11.09/11.31  (step t597.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t597.t2.a10))
% 11.09/11.31  (step t597.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t597.t2.t8))
% 11.09/11.31  (step t597.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t597.t2.a11))
% 11.09/11.31  (step t597.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t597.t2.t9 t597.t2.t10))
% 11.09/11.31  (step t597.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t597.t2.t11))
% 11.09/11.31  (step t597.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t597.t2.a1))
% 11.09/11.31  (step t597.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t597.t2.t13 t597.t2.a11))
% 11.09/11.31  (step t597.t2.t15 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule symm :premises (t597.t2.t14))
% 11.09/11.31  (step t597.t2.t16 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t597.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t597.t2.a1 t597.t2.t16))
% 11.09/11.31  (step t597.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t597.t2.t17))
% 11.09/11.31  (step t597.t2.t19 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8)) :rule symm :premises (t597.t2.a15))
% 11.09/11.31  (step t597.t2.t20 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule symm :premises (t597.t2.t19))
% 11.09/11.31  (step t597.t2.t21 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t597.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t597.t2.t7))
% 11.09/11.31  (step t597.t2.t23 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t597.t2.a11 t597.t2.t17 t597.t2.t14 t597.t2.t11 t597.t2.t22 t597.t2.t5))
% 11.09/11.31  (step t597.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t597.t2.t21 t597.t2.t23))
% 11.09/11.31  (step t597.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t597.t2.a6))
% 11.09/11.31  (step t597.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t597.t2.a5))
% 11.09/11.31  (step t597.t2.t27 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t597.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t597.t2.t26 t597.t2.t27))
% 11.09/11.31  (step t597.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t597.t2.a4))
% 11.09/11.31  (step t597.t2.t30 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t597.t2.a5 t597.t2.t24 t597.t2.t25 t597.t2.t28 t597.t2.t29))
% 11.09/11.31  (step t597.t2.t31 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t597.t2.t30))
% 11.09/11.31  (step t597.t2.t32 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.09/11.31  (step t597.t2.t33 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t597.t2.t31 t597.t2.t32))
% 11.09/11.31  (step t597.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t597.t2.a14))
% 11.09/11.31  (step t597.t2.t35 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3)) :rule symm :premises (t597.t2.a13))
% 11.09/11.31  (step t597.t2.t36 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule symm :premises (t597.t2.t35))
% 11.09/11.31  (step t597.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t597.t2.a12))
% 11.09/11.31  (step t597.t2.t38 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t597.t2.t37))
% 11.09/11.31  (step t597.t2.t39 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c9)) :rule symm :premises (t597.t2.a3))
% 11.09/11.31  (step t597.t2.t40 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t597.t2.t39))
% 11.09/11.31  (step t597.t2.t41 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t597.t2.a5 t597.t2.t24 t597.t2.t25 t597.t2.t28 t597.t2.t29 t597.t2.t40))
% 11.09/11.31  (step t597.t2.t42 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.09/11.31  (step t597.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t597.t2.t41 t597.t2.t42))
% 11.09/11.31  (step t597.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t597.t2.a2))
% 11.09/11.31  (step t597.t2.t45 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t597.t2.t38 t597.t2.t43 t597.t2.t44))
% 11.09/11.31  (step t597.t2.t46 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t597.t2.t45 t597.t2.t31))
% 11.09/11.31  (step t597.t2.t47 (cl (= tptp.sk_c8 tptp.sk_c3)) :rule trans :premises (t597.t2.t20 t597.t2.t33 t597.t2.t34))
% 11.09/11.31  (step t597.t2.t48 (cl (= tptp.sk_c3 tptp.identity)) :rule trans :premises (t597.t2.t36 t597.t2.t46 t597.t2.t13))
% 11.09/11.31  (step t597.t2.t49 (cl (= (tptp.inverse tptp.sk_c1) tptp.identity)) :rule trans :premises (t597.t2.t3 t597.t2.t47 t597.t2.t48))
% 11.09/11.31  (step t597.t2.t50 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.09/11.31  (step t597.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t597.t2.t49 t597.t2.t50))
% 11.09/11.31  (step t597.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t597.t2.a0))
% 11.09/11.31  (step t597.t2.t53 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t597.t2.t9 t597.t2.t51 t597.t2.t52))
% 11.09/11.31  (step t597.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule cong :premises (t597.t2.t53 t597.t2.t30))
% 11.09/11.31  (step t597.t2.t55 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule trans :premises (t597.t2.t2 t597.t2.t6 t597.t2.t7 t597.t2.t12 t597.t2.t15 t597.t2.t18 t597.t2.t10 t597.t2.t20 t597.t2.t33 t597.t2.t34 t597.t2.t36 t597.t2.t46 t597.t2.t54))
% 11.09/11.31  (step t597.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t597.t2.a0 t597.t2.a1 t597.t2.a2 t597.t2.a3 t597.t2.a4 t597.t2.a5 t597.t2.a6 t597.t2.a7 t597.t2.a8 t597.t2.a9 t597.t2.a10 t597.t2.a11 t597.t2.a12 t597.t2.a13 t597.t2.a14 t597.t2.a15 t597.t2.a16))
% 11.09/11.31  (step t597.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t597.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t597.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t597.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t597.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t597.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t597.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t597.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t597.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t597.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t597.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t597.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t597.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t597.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t597.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t597.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t597.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t597.t20 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t597.t2 t597.t3 t597.t4 t597.t5 t597.t6 t597.t7 t597.t8 t597.t9 t597.t10 t597.t11 t597.t12 t597.t13 t597.t14 t597.t15 t597.t16 t597.t17 t597.t18 t597.t19))
% 11.09/11.31  (step t597.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t597.t20))
% 11.09/11.31  (step t597.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t597.t21))
% 11.09/11.31  (step t597.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t597.t1 t597.t22))
% 11.09/11.31  (step t597.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t597.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t597.t23 t597.t24))
% 11.09/11.31  (step t597.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t597.t25))
% 11.09/11.31  (step t597.t27 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t597.t26))
% 11.09/11.31  (step t597.t28 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t597.t29 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t597.t28 t597.a10 t597.a6 t597.a16 t597.a5 t597.a7 t597.a9 t597.a14 t597.a2 t597.a1 t597.a13 t597.a12 t597.a8 t597.a15 t597.a4 t597.a11 t597.a3 t597.a0))
% 11.09/11.31  (step t597.t30 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t597.t27 t597.t29))
% 11.09/11.31  (step t597 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (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_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule subproof :discharge (t597.a0 t597.a1 t597.a2 t597.a3 t597.a4 t597.a5 t597.a6 t597.a7 t597.a8 t597.a9 t597.a10 t597.a11 t597.a12 t597.a13 t597.a14 t597.a15 t597.a16))
% 11.09/11.31  (step t598 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t599 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t600 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t601 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t602 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t603 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t604 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t605 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t606 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t607 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t608 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= 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))) :rule and_pos)
% 11.09/11.31  (step t609 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t610 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t611 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= 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.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t612 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= 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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t613 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t614 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t615 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t597 t598 t599 t600 t601 t602 t603 t604 t605 t606 t607 t608 t609 t610 t611 t612 t613 t614))
% 11.09/11.31  (step t616 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule reordering :premises (t615))
% 11.09/11.31  (step t617 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule contraction :premises (t616))
% 11.09/11.31  (step t618 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t596 t617))
% 11.09/11.31  (step t619 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t620 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule resolution :premises (t618 t619))
% 11.09/11.31  (step t621 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9)))) :rule contraction :premises (t620))
% 11.09/11.31  (step t622 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule implies :premises (t621))
% 11.09/11.31  (step t623 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (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_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) :rule resolution :premises (t595 t622))
% 11.09/11.31  (step t624 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t625)
% 11.09/11.31  (assume t625.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.31  (step t625.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.09/11.31  (step t625.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t625.t1))
% 11.09/11.31  (step t625.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t625.t2 t625.a0))
% 11.09/11.31  (step t625 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t625.a0))
% 11.09/11.31  (step t626 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t624 t625))
% 11.09/11.31  (step t627 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 11.09/11.31  (step t628 (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 (t626 t627))
% 11.09/11.31  (step t629 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t628))
% 11.09/11.31  (step t630 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t629))
% 11.09/11.31  (step t631 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t630 t200))
% 11.09/11.31  (step t632 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t633)
% 11.09/11.31  (assume t633.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.31  (step t633.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.09/11.31  (step t633.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t633.t1))
% 11.09/11.31  (step t633.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t633.t2 t633.a0))
% 11.09/11.31  (step t633 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t633.a0))
% 11.09/11.31  (step t634 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t632 t633))
% 11.09/11.31  (step t635 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 11.09/11.31  (step t636 (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 (t634 t635))
% 11.09/11.31  (step t637 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t636))
% 11.09/11.31  (step t638 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t637))
% 11.09/11.31  (step t639 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t638 t219))
% 11.09/11.31  (step t640 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t641)
% 11.09/11.31  (assume t641.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.31  (step t641.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.09/11.31  (step t641.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t641.t1))
% 11.09/11.31  (step t641.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t641.t2 t641.a0))
% 11.09/11.31  (step t641 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t641.a0))
% 11.09/11.31  (step t642 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t640 t641))
% 11.09/11.31  (step t643 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 11.09/11.31  (step t644 (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 (t642 t643))
% 11.09/11.31  (step t645 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t644))
% 11.09/11.31  (step t646 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t645))
% 11.09/11.31  (step t647 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t646 t219))
% 11.09/11.31  (step t648 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t649)
% 11.09/11.31  (assume t649.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.31  (step t649.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.09/11.31  (step t649.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t649.t1))
% 11.09/11.31  (step t649.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t649.t2 t649.a0))
% 11.09/11.31  (step t649 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t649.a0))
% 11.09/11.31  (step t650 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t648 t649))
% 11.09/11.31  (step t651 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 11.09/11.31  (step t652 (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 (t650 t651))
% 11.09/11.31  (step t653 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t652))
% 11.09/11.31  (step t654 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t653))
% 11.09/11.31  (step t655 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t654 t219))
% 11.09/11.31  (step t656 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule and_neg)
% 11.09/11.31  (step t657 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t658)
% 11.09/11.31  (assume t658.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (assume t658.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t658.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t658.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t658.a4 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t658.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t658.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (step t658.t1 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t658.t2)
% 11.09/11.31  (assume t658.t2.a0 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t658.t2.a1 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t658.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t658.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t658.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t658.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t658.t2.a6 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (step t658.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t658.t2.a6))
% 11.09/11.31  (step t658.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t658.t2.t1))
% 11.09/11.31  (step t658.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t658.t2.a0))
% 11.09/11.31  (step t658.t2.t4 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t658.t2.t3))
% 11.09/11.31  (step t658.t2.t5 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t658.t2.a5))
% 11.09/11.31  (step t658.t2.t6 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t658.t2.t5))
% 11.09/11.31  (step t658.t2.t7 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule cong :premises (t658.t2.t4 t658.t2.t6))
% 11.09/11.31  (step t658.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t658.t2.a4))
% 11.09/11.31  (step t658.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t658.t2.a3))
% 11.09/11.31  (step t658.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t658.t2.t9 t658.t2.a1))
% 11.09/11.31  (step t658.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t658.t2.a1))
% 11.09/11.31  (step t658.t2.t12 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t658.t2.a2 t658.t2.t11))
% 11.09/11.31  (step t658.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t658.t2.a2))
% 11.09/11.31  (step t658.t2.t14 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t658.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t658.t2.t13 t658.t2.t14))
% 11.09/11.31  (step t658.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t658.t2.t2 t658.t2.t7 t658.t2.t8 t658.t2.t10 t658.t2.t12 t658.t2.t15 t658.t2.t11 t658.t2.t4))
% 11.09/11.31  (step t658.t2 (cl (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t658.t2.a0 t658.t2.a1 t658.t2.a2 t658.t2.a3 t658.t2.a4 t658.t2.a5 t658.t2.a6))
% 11.09/11.31  (step t658.t3 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t658.t4 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t658.t5 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t658.t6 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t658.t7 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t658.t8 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t658.t9 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t658.t10 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t658.t2 t658.t3 t658.t4 t658.t5 t658.t6 t658.t7 t658.t8 t658.t9))
% 11.09/11.31  (step t658.t11 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t658.t10))
% 11.09/11.31  (step t658.t12 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t658.t11))
% 11.09/11.31  (step t658.t13 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t658.t1 t658.t12))
% 11.09/11.31  (step t658.t14 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.09/11.31  (step t658.t15 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t658.t13 t658.t14))
% 11.09/11.31  (step t658.t16 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t658.t15))
% 11.09/11.31  (step t658.t17 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t658.t16))
% 11.09/11.31  (step t658.t18 (cl (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t658.t19 (cl (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t658.t18 t658.a2 t658.a4 t658.a3 t658.a5 t658.a6 t658.a1 t658.a0))
% 11.09/11.31  (step t658.t20 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t658.t17 t658.t19))
% 11.09/11.31  (step t658 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t658.a0 t658.a1 t658.a2 t658.a3 t658.a4 t658.a5 t658.a6))
% 11.09/11.31  (step t659 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t660 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t661 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t662 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t663 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t664 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t665 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t666 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule resolution :premises (t658 t659 t660 t661 t662 t663 t664 t665))
% 11.09/11.31  (step t667 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t666))
% 11.09/11.31  (step t668 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t667))
% 11.09/11.31  (step t669 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t657 t668))
% 11.09/11.31  (step t670 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.09/11.31  (step t671 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t669 t670))
% 11.09/11.31  (step t672 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t671))
% 11.09/11.31  (step t673 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t672))
% 11.09/11.31  (step t674 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t656 t673))
% 11.09/11.31  (step t675 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t676)
% 11.09/11.31  (assume t676.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 11.09/11.31  (step t676.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule forall_inst :args ((:= X2 tptp.sk_c9)))
% 11.09/11.31  (step t676.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule or :premises (t676.t1))
% 11.09/11.31  (step t676.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t676.t2 t676.a0))
% 11.09/11.31  (step t676 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule subproof :discharge (t676.a0))
% 11.09/11.31  (step t677 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t675 t676))
% 11.09/11.31  (step t678 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule implies_neg2)
% 11.09/11.31  (step t679 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule resolution :premises (t677 t678))
% 11.09/11.31  (step t680 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule contraction :premises (t679))
% 11.09/11.31  (step t681 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) :rule implies :premises (t680))
% 11.09/11.31  (step t682 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule or_pos)
% 11.09/11.31  (step t683 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))))) :rule reordering :premises (t682))
% 11.09/11.31  (step t684 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.09/11.31  (step t685 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t686)
% 11.09/11.31  (assume t686.a0 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t686.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t686.a2 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (assume t686.a3 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t686.a4 (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))
% 11.09/11.31  (assume t686.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t686.a6 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t686.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t686.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t686.a9 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t686.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t686.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t686.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t686.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.09/11.31  (assume t686.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.09/11.31  (step t686.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t686.t2)
% 11.09/11.31  (assume t686.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t686.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t686.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t686.t2.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t686.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t686.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t686.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t686.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t686.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t686.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.09/11.31  (assume t686.t2.a10 (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))
% 11.09/11.31  (assume t686.t2.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.09/11.31  (assume t686.t2.a12 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t686.t2.a13 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t686.t2.a14 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (step t686.t2.t1 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8)) :rule symm :premises (t686.t2.a14))
% 11.09/11.31  (step t686.t2.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule symm :premises (t686.t2.t1))
% 11.09/11.31  (step t686.t2.t3 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t686.t2.t4 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t686.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t686.t2.a8 t686.t2.t4))
% 11.09/11.31  (step t686.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t686.t2.a8))
% 11.09/11.31  (step t686.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t686.t2.t6 t686.t2.a7))
% 11.09/11.31  (step t686.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t686.t2.a6))
% 11.09/11.31  (step t686.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t686.t2.t8))
% 11.09/11.31  (step t686.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t686.t2.a7))
% 11.09/11.31  (step t686.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t686.t2.t9 t686.t2.t10))
% 11.09/11.31  (step t686.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t686.t2.a5))
% 11.09/11.31  (step t686.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t686.t2.t12))
% 11.09/11.31  (step t686.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t686.t2.a3))
% 11.09/11.31  (step t686.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t686.t2.a4))
% 11.09/11.31  (step t686.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t686.t2.t14 t686.t2.t15))
% 11.09/11.31  (step t686.t2.t17 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t686.t2.a7 t686.t2.t5 t686.t2.t7 t686.t2.t11 t686.t2.t13 t686.t2.t16))
% 11.09/11.31  (step t686.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t686.t2.t3 t686.t2.t17))
% 11.09/11.31  (step t686.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t686.t2.a2))
% 11.09/11.31  (step t686.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t686.t2.a1))
% 11.09/11.31  (step t686.t2.t21 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t686.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t686.t2.t20 t686.t2.t21))
% 11.09/11.31  (step t686.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t686.t2.a0))
% 11.09/11.31  (step t686.t2.t24 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t686.t2.a1 t686.t2.t18 t686.t2.t19 t686.t2.t22 t686.t2.t23))
% 11.09/11.31  (step t686.t2.t25 (cl (= tptp.sk_c9 tptp.identity)) :rule symm :premises (t686.t2.t24))
% 11.09/11.31  (step t686.t2.t26 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.09/11.31  (step t686.t2.t27 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t686.t2.t25 t686.t2.t26))
% 11.09/11.31  (step t686.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t686.t2.a13))
% 11.09/11.31  (step t686.t2.t29 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3)) :rule symm :premises (t686.t2.a12))
% 11.09/11.31  (step t686.t2.t30 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule symm :premises (t686.t2.t29))
% 11.09/11.31  (step t686.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t686.t2.a11))
% 11.09/11.31  (step t686.t2.t32 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t686.t2.t31))
% 11.09/11.31  (step t686.t2.t33 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c9)) :rule symm :premises (t686.t2.a10))
% 11.09/11.31  (step t686.t2.t34 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t686.t2.t33))
% 11.09/11.31  (step t686.t2.t35 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t686.t2.a1 t686.t2.t18 t686.t2.t19 t686.t2.t22 t686.t2.t23 t686.t2.t34))
% 11.09/11.31  (step t686.t2.t36 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.09/11.31  (step t686.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t686.t2.t35 t686.t2.t36))
% 11.09/11.31  (step t686.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t686.t2.a9))
% 11.09/11.31  (step t686.t2.t39 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t686.t2.t32 t686.t2.t37 t686.t2.t38))
% 11.09/11.31  (step t686.t2.t40 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t686.t2.t39 t686.t2.t25))
% 11.09/11.31  (step t686.t2.t41 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.identity))) :rule cong :premises (t686.t2.t39))
% 11.09/11.31  (step t686.t2.t42 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t686.t2.t24))
% 11.09/11.31  (step t686.t2.t43 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule trans :premises (t686.t2.t2 t686.t2.t27 t686.t2.t28 t686.t2.t30 t686.t2.t40 t686.t2.t6 t686.t2.a1 t686.t2.t18 t686.t2.t19 t686.t2.t22 t686.t2.t23 t686.t2.t34 t686.t2.t41 t686.t2.t42))
% 11.09/11.31  (step t686.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t686.t2.a0 t686.t2.a1 t686.t2.a2 t686.t2.a3 t686.t2.a4 t686.t2.a5 t686.t2.a6 t686.t2.a7 t686.t2.a8 t686.t2.a9 t686.t2.a10 t686.t2.a11 t686.t2.a12 t686.t2.a13 t686.t2.a14))
% 11.09/11.31  (step t686.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t686.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t686.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t686.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t686.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t686.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t686.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t686.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t686.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t686.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t686.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t686.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t686.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t686.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t686.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t686.t18 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))))) :rule resolution :premises (t686.t2 t686.t3 t686.t4 t686.t5 t686.t6 t686.t7 t686.t8 t686.t9 t686.t10 t686.t11 t686.t12 t686.t13 t686.t14 t686.t15 t686.t16 t686.t17))
% 11.09/11.31  (step t686.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t686.t18))
% 11.09/11.31  (step t686.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t686.t19))
% 11.09/11.31  (step t686.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t686.t1 t686.t20))
% 11.09/11.31  (step t686.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t686.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t686.t21 t686.t22))
% 11.09/11.31  (step t686.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t686.t23))
% 11.09/11.31  (step t686.t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t686.t24))
% 11.09/11.31  (step t686.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule and_neg)
% 11.09/11.31  (step t686.t27 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule resolution :premises (t686.t26 t686.a6 t686.a8 t686.a12 t686.a1 t686.a0 t686.a11 t686.a10 t686.a7 t686.a5 t686.a14 t686.a4 t686.a13 t686.a3 t686.a9 t686.a2))
% 11.09/11.31  (step t686.t28 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t686.t25 t686.t27))
% 11.09/11.31  (step t686 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (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_c8 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t686.a0 t686.a1 t686.a2 t686.a3 t686.a4 t686.a5 t686.a6 t686.a7 t686.a8 t686.a9 t686.a10 t686.a11 t686.a12 t686.a13 t686.a14))
% 11.09/11.31  (step t687 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t688 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t689 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t690 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t691 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t692 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t693 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t694 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t695 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t696 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t697 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t698 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= 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.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t699 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= 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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t700 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t701 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.09/11.31  (step t702 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t686 t687 t688 t689 t690 t691 t692 t693 t694 t695 t696 t697 t698 t699 t700 t701))
% 11.09/11.31  (step t703 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t702))
% 11.09/11.31  (step t704 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t703))
% 11.09/11.31  (step t705 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t685 t704))
% 11.09/11.31  (step t706 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t707 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t705 t706))
% 11.09/11.31  (step t708 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t707))
% 11.09/11.31  (step t709 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t708))
% 11.09/11.31  (step t710 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (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_c8 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t684 t709))
% 11.09/11.31  (step t711 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c9)) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule reordering :premises (t710))
% 11.09/11.31  (step t712 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t713)
% 11.09/11.31  (assume t713.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))))
% 11.09/11.31  (step t713.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X1 tptp.sk_c2)))
% 11.09/11.31  (step t713.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t713.t1))
% 11.09/11.31  (step t713.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t713.t2 t713.a0))
% 11.09/11.31  (step t713 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t713.a0))
% 11.09/11.31  (step t714 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t712 t713))
% 11.09/11.31  (step t715 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 11.09/11.31  (step t716 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t714 t715))
% 11.09/11.31  (step t717 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t716))
% 11.09/11.31  (step t718 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t717))
% 11.09/11.31  (step t719 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 11.09/11.31  (step t720 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t719))
% 11.09/11.31  (step t721 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t722)
% 11.09/11.31  (assume t722.a0 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))
% 11.09/11.31  (step t722.t1 (cl (or (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X6 tptp.sk_c2)))
% 11.09/11.31  (step t722.t2 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t722.t1))
% 11.09/11.31  (step t722.t3 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t722.t2 t722.a0))
% 11.09/11.31  (step t722 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t722.a0))
% 11.09/11.31  (step t723 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t721 t722))
% 11.09/11.31  (step t724 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 11.09/11.31  (step t725 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t723 t724))
% 11.09/11.31  (step t726 (cl (=> (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t725))
% 11.09/11.31  (step t727 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t726))
% 11.09/11.31  (step t728 (cl (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 11.09/11.31  (step t729 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t728))
% 11.09/11.31  (step t730 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t731 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t732)
% 11.09/11.31  (assume t732.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (assume t732.a1 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (step t732.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t732.t2)
% 11.09/11.31  (assume t732.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t732.t2.a1 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (step t732.t2.t1 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8)) :rule symm :premises (t732.t2.a1))
% 11.09/11.31  (step t732.t2.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule symm :premises (t732.t2.t1))
% 11.09/11.31  (step t732.t2.t3 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t732.t2.t4 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3)) :rule symm :premises (t732.t2.a0))
% 11.09/11.31  (step t732.t2.t5 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule symm :premises (t732.t2.t4))
% 11.09/11.31  (step t732.t2.t6 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule cong :premises (t732.t2.t3 t732.t2.t5))
% 11.09/11.31  (step t732.t2.t7 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule trans :premises (t732.t2.t2 t732.t2.t6))
% 11.09/11.31  (step t732.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule subproof :discharge (t732.t2.a0 t732.t2.a1))
% 11.09/11.31  (step t732.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t732.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t732.t5 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))))) :rule resolution :premises (t732.t2 t732.t3 t732.t4))
% 11.09/11.31  (step t732.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule reordering :premises (t732.t5))
% 11.09/11.31  (step t732.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule contraction :premises (t732.t6))
% 11.09/11.31  (step t732.t8 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t732.t1 t732.t7))
% 11.09/11.31  (step t732.t9 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.31  (step t732.t10 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t732.t8 t732.t9))
% 11.09/11.31  (step t732.t11 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule contraction :premises (t732.t10))
% 11.09/11.31  (step t732.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule implies :premises (t732.t11))
% 11.09/11.31  (step t732.t13 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule and_neg)
% 11.09/11.31  (step t732.t14 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule resolution :premises (t732.t13 t732.a1 t732.a0))
% 11.09/11.31  (step t732.t15 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t732.t12 t732.t14))
% 11.09/11.31  (step t732 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule subproof :discharge (t732.a0 t732.a1))
% 11.09/11.31  (step t733 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t734 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t735 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t732 t733 t734))
% 11.09/11.31  (step t736 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule reordering :premises (t735))
% 11.09/11.31  (step t737 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule contraction :premises (t736))
% 11.09/11.31  (step t738 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t731 t737))
% 11.09/11.31  (step t739 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule implies_neg2)
% 11.09/11.31  (step t740 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t738 t739))
% 11.09/11.31  (step t741 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule contraction :premises (t740))
% 11.09/11.31  (step t742 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule implies :premises (t741))
% 11.09/11.31  (step t743 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t730 t742))
% 11.09/11.31  (step t744 (cl (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6)))))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t727 t729 t743))
% 11.09/11.31  (step t745 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) :rule reordering :premises (t744))
% 11.09/11.31  (step t746 (cl (not (= (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t747 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule refl)
% 11.09/11.31  (step t748 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.09/11.31  (step t749 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))))) :rule refl)
% 11.09/11.31  (step t750 (cl (= (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule refl)
% 11.09/11.31  (step t751 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))))) :rule refl)
% 11.09/11.31  (step t752 (cl (= (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule refl)
% 11.09/11.31  (step t753 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule refl)
% 11.09/11.31  (step t754 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule refl)
% 11.09/11.31  (step t755 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule refl)
% 11.09/11.31  (step t756 (cl (= (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) true) (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule equiv_simplify)
% 11.09/11.31  (step t757 (cl (not (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) true)) (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule equiv1 :premises (t756))
% 11.09/11.31  (step t758 (cl (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule all_simplify)
% 11.09/11.31  (step t759 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule refl)
% 11.09/11.31  (step t760 (cl (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.31  (step t761 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule cong :premises (t759 t760))
% 11.09/11.31  (step t762 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) true)) :rule all_simplify)
% 11.09/11.31  (step t763 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) true)) :rule trans :premises (t761 t762))
% 11.09/11.31  (step t764 (cl (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) true)) :rule trans :premises (t758 t763))
% 11.09/11.31  (step t765 (cl (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t757 t764))
% 11.09/11.31  (step t766 (cl (= (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule cong :premises (t747 t748 t749 t750 t17 t18 t19 t751 t752 t753 t754 t755 t765))
% 11.09/11.31  (step t767 (cl (not (= (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) (not (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule equiv_pos2)
% 11.09/11.31  (step t768 (cl (= (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule refl)
% 11.09/11.31  (step t769 (cl (= (= (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule equiv_simplify)
% 11.09/11.31  (step t770 (cl (= (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (not (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule equiv2 :premises (t769))
% 11.09/11.31  (step t771 (cl (not (not (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule not_not)
% 11.09/11.31  (step t772 (cl (= (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t770 t771))
% 11.09/11.31  (step t773 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t774)
% 11.09/11.31  (assume t774.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t774.a1 (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))
% 11.09/11.31  (step t774.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 11.09/11.31  (step t774.t2 (cl (= (= true false) false)) :rule all_simplify)
% 11.09/11.31  (step t774.t3 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) true) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule equiv_simplify)
% 11.09/11.31  (step t774.t4 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) true) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule equiv2 :premises (t774.t3))
% 11.09/11.31  (step t774.t5 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c8)) :rule symm :premises (t774.a0))
% 11.09/11.31  (step t774.t6 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule symm :premises (t774.t5))
% 11.09/11.31  (step t774.t7 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) true)) :rule resolution :premises (t774.t4 t774.t6))
% 11.09/11.31  (step t774.t8 (cl (= true (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule symm :premises (t774.t7))
% 11.09/11.31  (step t774.t9 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) false) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule equiv_simplify)
% 11.09/11.31  (step t774.t10 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) false) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule equiv2 :premises (t774.t9))
% 11.09/11.31  (step t774.t11 (cl (not (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule not_not)
% 11.09/11.31  (step t774.t12 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) false) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule resolution :premises (t774.t10 t774.t11))
% 11.09/11.31  (step t774.t13 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) false)) :rule resolution :premises (t774.t12 t774.a1))
% 11.09/11.31  (step t774.t14 (cl (= true false)) :rule trans :premises (t774.t8 t774.t13))
% 11.09/11.31  (step t774.t15 (cl false) :rule resolution :premises (t774.t1 t774.t2 t774.t14))
% 11.09/11.31  (step t774 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) :rule subproof :discharge (t774.a0 t774.a1))
% 11.09/11.31  (step t775 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t776 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t777 (cl false (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t774 t775 t776))
% 11.09/11.31  (step t778 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) false) :rule reordering :premises (t777))
% 11.09/11.31  (step t779 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) false) :rule contraction :premises (t778))
% 11.09/11.31  (step t780 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) false) :rule resolution :premises (t773 t779))
% 11.09/11.31  (step t781 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (not false)) :rule implies_neg2)
% 11.09/11.31  (step t782 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false)) :rule resolution :premises (t780 t781))
% 11.09/11.31  (step t783 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false)) :rule contraction :premises (t782))
% 11.09/11.31  (step t784 (cl (= (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule implies_simplify)
% 11.09/11.31  (step t785 (cl (not (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule equiv1 :premises (t784))
% 11.09/11.31  (step t786 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t783 t785))
% 11.09/11.31  (step t787 (cl (= (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false)) :rule resolution :premises (t772 t786))
% 11.09/11.31  (step t788 (cl (= (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false))) :rule cong :premises (t768 t787))
% 11.09/11.31  (step t789 (cl (= (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) false) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule all_simplify)
% 11.09/11.31  (step t790 (cl (= (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))))) :rule trans :premises (t788 t789))
% 11.09/11.31  (step t791 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t792)
% 11.09/11.31  (assume t792.a0 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t792.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t792.a2 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (assume t792.a3 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t792.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t792.a5 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t792.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t792.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t792.a8 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t792.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t792.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t792.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t792.a12 (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))
% 11.09/11.31  (step t792.t1 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.31  (step t792.t2 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t792.t3)
% 11.09/11.31  (assume t792.t3.a0 (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))
% 11.09/11.31  (assume t792.t3.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.09/11.31  (assume t792.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t792.t3.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t792.t3.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t792.t3.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t792.t3.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t792.t3.a7 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t792.t3.a8 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t792.t3.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t792.t3.a10 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t792.t3.a11 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))
% 11.09/11.31  (step t792.t3.t1 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) tptp.sk_c8)) :rule symm :premises (t792.t3.a11))
% 11.09/11.31  (step t792.t3.t2 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule symm :premises (t792.t3.t1))
% 11.09/11.31  (step t792.t3.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t792.t3.a10))
% 11.09/11.31  (step t792.t3.t4 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule symm :premises (t792.t3.t3))
% 11.09/11.31  (step t792.t3.t5 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t792.t3.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule cong :premises (t792.t3.a2 t792.t3.t5))
% 11.09/11.31  (step t792.t3.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t792.t3.a9))
% 11.09/11.31  (step t792.t3.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule symm :premises (t792.t3.t7))
% 11.09/11.31  (step t792.t3.t9 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t792.t3.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t792.t3.a7))
% 11.09/11.31  (step t792.t3.t11 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t792.t3.t10))
% 11.09/11.31  (step t792.t3.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t792.t3.a8))
% 11.09/11.31  (step t792.t3.t13 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t792.t3.t12))
% 11.09/11.31  (step t792.t3.t14 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule cong :premises (t792.t3.t11 t792.t3.t13))
% 11.09/11.31  (step t792.t3.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t792.t3.a6))
% 11.09/11.31  (step t792.t3.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t792.t3.a5))
% 11.09/11.31  (step t792.t3.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t792.t3.t16 t792.t3.a3))
% 11.09/11.31  (step t792.t3.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t792.t3.a3))
% 11.09/11.31  (step t792.t3.t19 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t792.t3.a4 t792.t3.t18))
% 11.09/11.31  (step t792.t3.t20 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t792.t3.a4))
% 11.09/11.31  (step t792.t3.t21 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t792.t3.t22 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t792.t3.t20 t792.t3.t21))
% 11.09/11.31  (step t792.t3.t23 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c8)) :rule trans :premises (t792.t3.t14 t792.t3.t15 t792.t3.t17 t792.t3.t19 t792.t3.t22 t792.t3.t18))
% 11.09/11.31  (step t792.t3.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t792.t3.t9 t792.t3.t23))
% 11.09/11.31  (step t792.t3.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t792.t3.a2))
% 11.09/11.31  (step t792.t3.t26 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t792.t3.t4 t792.t3.t6 t792.t3.t8 t792.t3.t24 t792.t3.t25))
% 11.09/11.31  (step t792.t3.t27 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.09/11.31  (step t792.t3.t28 (cl (= (tptp.multiply tptp.sk_c9 tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t792.t3.t26 t792.t3.t27))
% 11.09/11.31  (step t792.t3.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t792.t3.a1))
% 11.09/11.31  (step t792.t3.t30 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3)) :rule symm :premises (t792.t3.a0))
% 11.09/11.31  (step t792.t3.t31 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule symm :premises (t792.t3.t30))
% 11.09/11.31  (step t792.t3.t32 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule trans :premises (t792.t3.t2 t792.t3.t28 t792.t3.t29 t792.t3.t31))
% 11.09/11.31  (step t792.t3 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule subproof :discharge (t792.t3.a0 t792.t3.a1 t792.t3.a2 t792.t3.a3 t792.t3.a4 t792.t3.a5 t792.t3.a6 t792.t3.a7 t792.t3.a8 t792.t3.a9 t792.t3.a10 t792.t3.a11))
% 11.09/11.31  (step t792.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t792.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t792.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t792.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t792.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t792.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t792.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t792.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t792.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t792.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t792.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t792.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t792.t16 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))))) :rule resolution :premises (t792.t3 t792.t4 t792.t5 t792.t6 t792.t7 t792.t8 t792.t9 t792.t10 t792.t11 t792.t12 t792.t13 t792.t14 t792.t15))
% 11.09/11.31  (step t792.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule reordering :premises (t792.t16))
% 11.09/11.31  (step t792.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule contraction :premises (t792.t17))
% 11.09/11.31  (step t792.t19 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule resolution :premises (t792.t2 t792.t18))
% 11.09/11.31  (step t792.t20 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule implies_neg2)
% 11.09/11.31  (step t792.t21 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t792.t19 t792.t20))
% 11.09/11.31  (step t792.t22 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule contraction :premises (t792.t21))
% 11.09/11.31  (step t792.t23 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule implies :premises (t792.t22))
% 11.09/11.31  (step t792.t24 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule and_neg)
% 11.09/11.31  (step t792.t25 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)))) :rule resolution :premises (t792.t24 t792.a3 t792.a8 t792.a7 t792.a6 t792.a4 t792.a9 t792.a10 t792.a1 t792.a0 t792.a11 t792.a5 t792.a2))
% 11.09/11.31  (step t792.t26 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule resolution :premises (t792.t23 t792.t25))
% 11.09/11.31  (step t792.t27 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t792.t1 t792.t26 t792.a12))
% 11.09/11.31  (step t792 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule subproof :discharge (t792.a0 t792.a1 t792.a2 t792.a3 t792.a4 t792.a5 t792.a6 t792.a7 t792.a8 t792.a9 t792.a10 t792.a11 t792.a12))
% 11.09/11.31  (step t793 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t794 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t795 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t796 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t797 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t798 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t799 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t800 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t801 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.09/11.31  (step t802 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t803 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t804 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t805 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t806 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t792 t793 t794 t795 t796 t797 t798 t799 t800 t801 t802 t803 t804 t805))
% 11.09/11.31  (step t807 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule reordering :premises (t806))
% 11.09/11.31  (step t808 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule contraction :premises (t807))
% 11.09/11.31  (step t809 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule resolution :premises (t791 t808))
% 11.09/11.31  (step t810 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule implies_neg2)
% 11.09/11.31  (step t811 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t809 t810))
% 11.09/11.31  (step t812 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule contraction :premises (t811))
% 11.09/11.31  (step t813 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t767 t790 t812))
% 11.09/11.31  (step t814 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule not_and :premises (t813))
% 11.09/11.31  (step t815 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule or_neg)
% 11.09/11.31  (step t816 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 11.09/11.31  (step t817 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))))) :rule or_neg)
% 11.09/11.31  (step t818 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) :rule or_neg)
% 11.09/11.31  (step t819 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.09/11.31  (step t820 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule or_neg)
% 11.09/11.31  (step t821 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 11.09/11.31  (step t822 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))))) :rule or_neg)
% 11.09/11.31  (step t823 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))))) :rule or_neg)
% 11.09/11.31  (step t824 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 11.09/11.31  (step t825 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule or_neg)
% 11.09/11.31  (step t826 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule or_neg)
% 11.09/11.31  (step t827 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (not (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule or_neg)
% 11.09/11.31  (step t828 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule resolution :premises (t814 t815 t816 t817 t818 t819 t820 t821 t822 t823 t824 t825 t826 t827))
% 11.09/11.31  (step t829 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))))) :rule contraction :premises (t828))
% 11.09/11.31  (step t830 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule resolution :premises (t746 t766 t829))
% 11.09/11.31  (step t831 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule or :premises (t830))
% 11.09/11.31  (step t832 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule and_neg)
% 11.09/11.31  (step t833 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t834)
% 11.09/11.31  (assume t834.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (assume t834.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t834.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t834.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t834.a4 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t834.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t834.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t834.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t834.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t834.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (step t834.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t834.t2)
% 11.09/11.31  (assume t834.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.09/11.31  (assume t834.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.09/11.31  (assume t834.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))
% 11.09/11.31  (assume t834.t2.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.09/11.31  (assume t834.t2.a4 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.09/11.31  (assume t834.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.09/11.31  (assume t834.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.09/11.31  (assume t834.t2.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.09/11.31  (assume t834.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.09/11.31  (assume t834.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))
% 11.09/11.31  (step t834.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) :rule symm :premises (t834.t2.a9))
% 11.09/11.31  (step t834.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule symm :premises (t834.t2.t1))
% 11.09/11.31  (step t834.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t834.t2.a3))
% 11.09/11.31  (step t834.t2.t4 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c9)) :rule symm :premises (t834.t2.a4))
% 11.09/11.31  (step t834.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule cong :premises (t834.t2.t3 t834.t2.t4))
% 11.09/11.31  (step t834.t2.t6 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t834.t2.t5))
% 11.09/11.31  (step t834.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t834.t2.a5))
% 11.09/11.31  (step t834.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t834.t2.a6))
% 11.09/11.31  (step t834.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t834.t2.t8))
% 11.09/11.31  (step t834.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t834.t2.a7))
% 11.09/11.31  (step t834.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t834.t2.t9 t834.t2.t10))
% 11.09/11.31  (step t834.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule symm :premises (t834.t2.t11))
% 11.09/11.31  (step t834.t2.t13 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.09/11.31  (step t834.t2.t14 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.09/11.31  (step t834.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t834.t2.a8 t834.t2.t14))
% 11.09/11.31  (step t834.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t834.t2.a8))
% 11.09/11.31  (step t834.t2.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t834.t2.t16 t834.t2.a7))
% 11.09/11.31  (step t834.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t834.t2.t7))
% 11.09/11.31  (step t834.t2.t19 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule trans :premises (t834.t2.a7 t834.t2.t15 t834.t2.t17 t834.t2.t11 t834.t2.t18 t834.t2.t5))
% 11.09/11.31  (step t834.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule cong :premises (t834.t2.t13 t834.t2.t19))
% 11.09/11.31  (step t834.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9))) :rule symm :premises (t834.t2.a2))
% 11.09/11.31  (step t834.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t834.t2.a1))
% 11.09/11.31  (step t834.t2.t23 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.09/11.31  (step t834.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t834.t2.t22 t834.t2.t23))
% 11.09/11.31  (step t834.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t834.t2.a0))
% 11.09/11.31  (step t834.t2.t26 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t834.t2.a1 t834.t2.t20 t834.t2.t21 t834.t2.t24 t834.t2.t25))
% 11.09/11.31  (step t834.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule cong :premises (t834.t2.t26 t834.t2.t10))
% 11.09/11.31  (step t834.t2.t28 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule trans :premises (t834.t2.t2 t834.t2.t6 t834.t2.t7 t834.t2.t12 t834.t2.t27))
% 11.09/11.31  (step t834.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule subproof :discharge (t834.t2.a0 t834.t2.a1 t834.t2.a2 t834.t2.a3 t834.t2.a4 t834.t2.a5 t834.t2.a6 t834.t2.a7 t834.t2.a8 t834.t2.a9))
% 11.09/11.31  (step t834.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t834.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t834.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t834.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t834.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t834.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t834.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t834.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t834.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t834.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t834.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t834.t2 t834.t3 t834.t4 t834.t5 t834.t6 t834.t7 t834.t8 t834.t9 t834.t10 t834.t11 t834.t12))
% 11.09/11.31  (step t834.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule reordering :premises (t834.t13))
% 11.09/11.31  (step t834.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule contraction :premises (t834.t14))
% 11.09/11.31  (step t834.t16 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t834.t1 t834.t15))
% 11.09/11.31  (step t834.t17 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.31  (step t834.t18 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t834.t16 t834.t17))
% 11.09/11.31  (step t834.t19 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule contraction :premises (t834.t18))
% 11.09/11.31  (step t834.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule implies :premises (t834.t19))
% 11.09/11.31  (step t834.t21 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_neg)
% 11.09/11.31  (step t834.t22 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t834.t21 t834.a4 t834.a6 t834.a9 t834.a2 t834.a1 t834.a8 t834.a7 t834.a5 t834.a3 t834.a0))
% 11.09/11.31  (step t834.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t834.t20 t834.t22))
% 11.09/11.31  (step t834 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule subproof :discharge (t834.a0 t834.a1 t834.a2 t834.a3 t834.a4 t834.a5 t834.a6 t834.a7 t834.a8 t834.a9))
% 11.09/11.31  (step t835 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t836 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t837 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t838 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.09/11.31  (step t839 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.09/11.31  (step t840 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t841 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.09/11.31  (step t842 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.09/11.31  (step t843 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 11.09/11.31  (step t844 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule and_pos)
% 11.09/11.31  (step t845 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))))) :rule resolution :premises (t834 t835 t836 t837 t838 t839 t840 t841 t842 t843 t844))
% 11.09/11.31  (step t846 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule reordering :premises (t845))
% 11.09/11.31  (step t847 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule contraction :premises (t846))
% 11.09/11.31  (step t848 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t833 t847))
% 11.09/11.31  (step t849 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule implies_neg2)
% 11.09/11.31  (step t850 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule resolution :premises (t848 t849))
% 11.09/11.31  (step t851 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8)))) :rule contraction :premises (t850))
% 11.09/11.31  (step t852 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule implies :premises (t851))
% 11.09/11.31  (step t853 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) :rule resolution :premises (t832 t852))
% 11.09/11.31  (step t854 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9))))) :rule resolution :premises (t428 t430 t623 t631 t639 t461 t469 t477 t647 t655 t485 t236 t244 t252 t674 t469 t477 t236 t252 t104 t681 t683 t711 t631 t639 t461 t469 t477 t647 t485 t236 t244 t252 t718 t720 t745 t831 t646 t853))
% 11.09/11.31  (step t855 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule contraction :premises (t854))
% 11.09/11.31  (step t856 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule resolution :premises (t855 t243 t251 t235))
% 11.09/11.31  (step t857 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (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_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule contraction :premises (t856))
% 11.09/11.31  (step t858 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule resolution :premises (t857 t484 t476))
% 11.09/11.31  (step t859 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule contraction :premises (t858))
% 11.09/11.31  (step t860 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t861)
% 11.09/11.31  (assume t861.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))
% 11.09/11.31  (step t861.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 11.09/11.31  (step t861.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t861.t1))
% 11.09/11.31  (step t861.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t861.t2 t861.a0))
% 11.09/11.31  (step t861 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t861.a0))
% 11.09/11.31  (step t862 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t860 t861))
% 11.09/11.31  (step t863 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.09/11.31  (step t864 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t862 t863))
% 11.09/11.31  (step t865 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t864))
% 11.09/11.31  (step t866 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t865))
% 11.09/11.31  (step t867 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.09/11.31  (step t868 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t867))
% 11.09/11.31  (step t869 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t859 t468 t460 t866 t868))
% 11.09/11.31  (step t870 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule contraction :premises (t869))
% 11.09/11.31  (step t871 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t870 t219 t200 a2))
% 11.09/11.31  (step t872 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t104 t118 t428 t111 t136 t430 t134 t147 t453 t461 t469 t477 t485 t236 t244 t252 t511 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t554 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t579 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t392 t674 t251 t235 t476 t200 t468 a2 t866 t868))
% 11.09/11.31  (step t873 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule contraction :premises (t872))
% 11.09/11.31  (step t874 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.31  (step t875 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)))) :rule all_simplify)
% 11.09/11.31  (step t876 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t875 t397))
% 11.09/11.31  (step t877 (cl (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t874 t876 a28))
% 11.09/11.31  (step t878 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t877))
% 11.09/11.31  (step t879 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule reordering :premises (t878))
% 11.09/11.31  (step t880 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t881 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c9) tptp.sk_c3) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t875 t415))
% 11.09/11.31  (step t882 (cl (or (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t880 t881 a27))
% 11.09/11.31  (step t883 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t882))
% 11.09/11.31  (step t884 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule reordering :premises (t883))
% 11.09/11.31  (step t885 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule resolution :premises (t873 t879 t884 t219))
% 11.09/11.31  (step t886 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) :rule contraction :premises (t885))
% 11.09/11.31  (step t887 (cl (= tptp.sk_c3 (tptp.multiply tptp.sk_c2 tptp.sk_c9)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t886))
% 11.09/11.31  (step t888 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t111 t134 t579 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t104 t428 t118 t430 t136 t554 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t511 t461 t469 t477 t519 t209 t527 t485 t236 t244 t252 t453 t461 t469 t477 t485 t236 t244 t252 t674 t469 t477 t236 t252 t147 t392 t866 t868))
% 11.09/11.31  (step t889 (cl (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t888))
% 11.09/11.31  (step t890 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.31  (step t891 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 11.09/11.31  (step t892 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t891 t397))
% 11.09/11.31  (step t893 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t890 t892 a34))
% 11.09/11.31  (step t894 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t893))
% 11.09/11.31  (step t895 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t894))
% 11.09/11.31  (step t896 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t897 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t891 t415))
% 11.09/11.31  (step t898 (cl (or (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t896 t897 a33))
% 11.09/11.31  (step t899 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t898))
% 11.09/11.31  (step t900 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t899))
% 11.09/11.31  (step t901 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t889 t895 t900))
% 11.09/11.31  (step t902 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c9 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t901))
% 11.09/11.31  (step t903 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t902))
% 11.09/11.31  (step t904 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t594 t871 t887 t674 t469 t477 t236 t252 t903 t866 t868))
% 11.09/11.31  (step t905 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t904))
% 11.09/11.31  (step t906 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t132 t140 t329 t182 t190 t201 t209 t220 t228 t236 t244 t252 t390 t182 t190 t209 t228 t236 t244 t252 t104 t125 t118 t111 t138 t136 t134 t304 t182 t190 t201 t209 t220 t228 t236 t244 t252 t278 t182 t190 t201 t209 t220 t228 t236 t244 t252 t174 t182 t190 t201 t209 t220 t228 t236 t244 t252 t369 t182 t190 t209 t228 t236 t244 t252 t346 t190 t209 t244 t147 t392))
% 11.09/11.31  (step t907 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t906))
% 11.09/11.31  (step t908 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t909 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.09/11.31  (step t910 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t909 t415))
% 11.09/11.31  (step t911 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t908 t910 a15))
% 11.09/11.31  (step t912 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t911))
% 11.09/11.31  (step t913 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t912))
% 11.09/11.31  (step t914 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.09/11.31  (step t915 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t909 t403))
% 11.09/11.31  (step t916 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t914 t915 a17))
% 11.09/11.31  (step t917 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t916))
% 11.09/11.31  (step t918 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t917))
% 11.09/11.31  (step t919 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.09/11.31  (step t920 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t909 t409))
% 11.09/11.31  (step t921 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t919 t920 a18))
% 11.09/11.31  (step t922 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t921))
% 11.09/11.31  (step t923 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t922))
% 11.09/11.31  (step t924 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.31  (step t925 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t909 t397))
% 11.09/11.31  (step t926 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t924 t925 a16))
% 11.09/11.31  (step t927 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t926))
% 11.09/11.31  (step t928 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t927))
% 11.09/11.31  (step t929 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t907 t913 t918 t923 t928))
% 11.09/11.31  (step t930 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t929))
% 11.09/11.31  (step t931 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule reordering :premises (t930))
% 11.09/11.31  (step t932 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule resolution :premises (t421 t905 t931))
% 11.09/11.31  (step t933 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)))) :rule contraction :premises (t932))
% 11.09/11.31  (step t934 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) :rule resolution :premises (t87 t933))
% 11.09/11.31  (step t935 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.09/11.31  (step t936 (cl (= (= (tptp.inverse tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule all_simplify)
% 11.09/11.31  (step t937 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t83 t936))
% 11.09/11.31  (step t938 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t935 t937 a7))
% 11.09/11.31  (step t939 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t938))
% 11.09/11.31  (step t940 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t939 t933))
% 11.09/11.31  (step t941 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.09/11.31  (step t942 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t83 t409))
% 11.09/11.31  (step t943 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t941 t942 a6))
% 11.09/11.31  (step t944 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t943))
% 11.09/11.31  (step t945 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t944 t933))
% 11.09/11.31  (step t946 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.09/11.31  (step t947 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t83 t403))
% 11.09/11.31  (step t948 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t946 t947 a5))
% 11.09/11.31  (step t949 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t948))
% 11.09/11.31  (step t950 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule resolution :premises (t949 t933))
% 11.09/11.31  (step t951 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.09/11.31  (step t952 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c9)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t83 t397))
% 11.09/11.31  (step t953 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t951 t952 a4))
% 11.09/11.31  (step t954 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule or :premises (t953))
% 11.09/11.31  (step t955 (cl (= tptp.sk_c9 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t954 t933))
% 11.09/11.31  (step t956 (cl (not (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) (not (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule equiv_pos2)
% 11.09/11.31  (step t957 (cl (= (or (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c9) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))))) :rule cong :premises (t83 t415))
% 11.09/11.31  (step t958 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9)))) :rule resolution :premises (t956 t957 a3))
% 11.09/11.31  (step t959 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c9)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule or :premises (t958))
% 11.09/11.31  (step t960 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) :rule resolution :premises (t959 t933))
% 11.09/11.31  (step t961 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t962)
% 11.09/11.31  (assume t962.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.09/11.31  (step t962.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.09/11.31  (step t962.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t962.t1))
% 11.09/11.31  (step t962.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t962.t2 t962.a0))
% 11.09/11.31  (step t962 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t962.a0))
% 11.09/11.31  (step t963 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t961 t962))
% 11.09/11.31  (step t964 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 11.09/11.31  (step t965 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t963 t964))
% 11.09/11.31  (step t966 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t965))
% 11.09/11.31  (step t967 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule implies :premises (t966))
% 11.09/11.31  (step t968 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t967 t200))
% 11.09/11.31  (step t969 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.09/11.31  (anchor :step t970)
% 11.09/11.31  (assume t970.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.09/11.31  (step t970.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.09/11.31  (step t970.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t970.t1))
% 11.09/11.31  (step t970.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t970.t2 t970.a0))
% 11.09/11.31  (step t970 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t970.a0))
% 11.09/11.31  (step t971 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t969 t970))
% 11.09/11.31  (step t972 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.09/11.31  (step t973 (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 (t971 t972))
% 11.09/11.31  (step t974 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t973))
% 11.09/11.31  (step t975 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t974))
% 11.09/11.31  (step t976 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t975 t219))
% 11.09/11.31  (step t977 (cl) :rule resolution :premises (t81 t934 t940 t945 t950 t955 t960 t933 t182 t190 t968 t201 t976 t209 t220 t228 t236 t244 t252))
% 11.09/11.31  
% 11.09/11.31  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.lt6oykTNNs/cvc5---1.0.5_4079.smt2
% 11.09/11.32  % cvc5---1.0.5 exiting
% 11.09/11.32  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------